71115997680 has 600 divisors, whose sum is σ = 305698817952. Its totient is φ = 15003076608.

The previous prime is 71115997669. The next prime is 71115997691. The reversal of 71115997680 is 8679951117.

It is an interprime number because it is at equal distance from previous prime (71115997669) and next prime (71115997691).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7661202 + ... + 7670478.

Almost surely, 2^71115997680 is an apocalyptic number.

71115997680 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 71115997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152849408976).

71115997680 is an abundant number, since it is smaller than the sum of its proper divisors (234582820272).

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

71115997680 is a wasteful number, since it uses less digits than its factorization.

71115997680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9335 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 71115997680 in words is "seventy-one billion, one hundred fifteen million, nine hundred ninety-seven thousand, six hundred eighty".