92255256601600 has 297 divisors, whose sum is σ = 230675584795747. Its totient is φ = 36583064289280.

The previous prime is 92255256601583. The next prime is 92255256601633. The reversal of 92255256601600 is 610665255229.

The square root of 92255256601600 is 9604960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10156000175104 + 82099256426496 = 3186848^2 + 9060864^2 .

It is a super-2 number, since 2×92255256601600² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265865292627 + ... + 265865292973.

Almost surely, 2^{92255256601600} is an apocalyptic number.

92255256601600 is the 9604960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92255256601600

92255256601600 is an abundant number, since it is smaller than the sum of its proper divisors (138420328194147).

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

92255256601600 is an frugal number, since it uses more digits than its factorization.

92255256601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 92255256601600 in words is "ninety-two trillion, two hundred fifty-five billion, two hundred fifty-six million, six hundred one thousand, six hundred".