71516919600 has 480 divisors, whose sum is σ = 306228416000. Its totient is φ = 15486059520.

The previous prime is 71516919587. The next prime is 71516919623. The reversal of 71516919600 is 691961517.

71516919600 is a `hidden beast` number, since 7 + 15 + 16 + 9 + 19 + 600 = 666.

It is a super-2 number, since 2×71516919600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1411506 + ... + 1461294.

Almost surely, 2^71516919600 is an apocalyptic number.

71516919600 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 71516919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153114208000).

71516919600 is an abundant number, since it is smaller than the sum of its proper divisors (234711496400).

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

71516919600 is a wasteful number, since it uses less digits than its factorization.

71516919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49842 (or 49825 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 71516919600 in words is "seventy-one billion, five hundred sixteen million, nine hundred nineteen thousand, six hundred".