71101255680 has 1248 divisors, whose sum is σ = 316566292224. Its totient is φ = 14906032128.

The previous prime is 71101255679. The next prime is 71101255681. The reversal of 71101255680 is 8655210117.

71101255680 is a `hidden beast` number, since 7 + 1 + 10 + 12 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (71101255679) and next prime (71101255681).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×71101255680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71101255681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452874162 + ... + 452874318.

It is an arithmetic number, because the mean of its divisors is an integer number (253658888).

Almost surely, 2^71101255680 is an apocalyptic number.

71101255680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71101255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158283146112).

71101255680 is an abundant number, since it is smaller than the sum of its proper divisors (245465036544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71101255680 is a wasteful number, since it uses less digits than its factorization.

71101255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Adding to 71101255680 its reverse (8655210117), we get a palindrome (79756465797).

The spelling of 71101255680 in words is "seventy-one billion, one hundred one million, two hundred fifty-five thousand, six hundred eighty".