71655428600496 has 480 divisors, whose sum is σ = 219088541672000. Its totient is φ = 21730701606912.

The previous prime is 71655428600449. The next prime is 71655428600507. The reversal of 71655428600496 is 69400682455617.

71655428600496 is a `hidden beast` number, since 7 + 1 + 6 + 5 + 542 + 86 + 0 + 0 + 4 + 9 + 6 = 666.

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, 86435981010 + ... + 86435981838.

Almost surely, 2^{71655428600496} 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 71655428600496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109544270836000).

71655428600496 is an abundant number, since it is smaller than the sum of its proper divisors (147433113071504).

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

71655428600496 is a wasteful number, since it uses less digits than its factorization.

71655428600496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 71655428600496 in words is "seventy-one trillion, six hundred fifty-five billion, four hundred twenty-eight million, six hundred thousand, four hundred ninety-six".