215797265957504 has 768 divisors, whose sum is σ = 566384739413760. Its totient is φ = 79479196876800.

The previous prime is 215797265957479. The next prime is 215797265957513. The reversal of 215797265957504 is 405759562797512.

It is a Harshad number since it is a multiple of its sum of digits (74).

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, 736509439982 + ... + 736509440274.

It is an arithmetic number, because the mean of its divisors is an integer number (737480129445).

Almost surely, 2^{215797265957504} 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 215797265957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283192369706880).

215797265957504 is an abundant number, since it is smaller than the sum of its proper divisors (350587473456256).

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

215797265957504 is a wasteful number, since it uses less digits than its factorization.

215797265957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1666980000, while the sum is 74.

The spelling of 215797265957504 in words is "two hundred fifteen trillion, seven hundred ninety-seven billion, two hundred sixty-five million, nine hundred fifty-seven thousand, five hundred four".