71211310746300 has 216 divisors, whose sum is σ = 229267247873664. Its totient is φ = 18477534741120.

The previous prime is 71211310746287. The next prime is 71211310746311. The reversal of 71211310746300 is 364701311217.

It is a happy number.

71211310746300 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 1 + 3 + 10 + 7 + 4 + 630 + 0 = 666.

It is a super-2 number, since 2×71211310746300² (a number of 29 digits) contains 22 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6679839 + ... + 13676361.

Almost surely, 2^{71211310746300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71211310746300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114633623936832).

71211310746300 is an abundant number, since it is smaller than the sum of its proper divisors (158055937127364).

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

71211310746300 is a wasteful number, since it uses less digits than its factorization.

71211310746300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996849 (or 6996839 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 71211310746300 in words is "seventy-one trillion, two hundred eleven billion, three hundred ten million, seven hundred forty-six thousand, three hundred".