71853935904 has 216 divisors, whose sum is σ = 217609227108. Its totient is φ = 22485565440.

The previous prime is 71853935897. The next prime is 71853935927. The reversal of 71853935904 is 40953935817.

71853935904 is a `hidden beast` number, since 7 + 18 + 5 + 39 + 3 + 590 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42526688400 + 29327247504 = 206220^2 + 171252^2 .

It is a super-2 number, since 2×71853935904² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43363044 + ... + 43364700.

Almost surely, 2^71853935904 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 71853935904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108804613554).

71853935904 is an abundant number, since it is smaller than the sum of its proper divisors (145755291204).

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

71853935904 is a wasteful number, since it uses less digits than its factorization.

71853935904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 71853935904 in words is "seventy-one billion, eight hundred fifty-three million, nine hundred thirty-five thousand, nine hundred four".