925132492800 has 1014 divisors, whose sum is σ = 3643486529058. Its totient is φ = 232190115840.

The previous prime is 925132492799. The next prime is 925132492813. The reversal of 925132492800 is 8294231529.

925132492800 is a `hidden beast` number, since 9 + 2 + 51 + 32 + 492 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 139314069504 + 785818423296 = 373248^2 + 886464^2 .

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 77 ways as a sum of consecutive naturals, for example, 54419558392 + ... + 54419558408.

Almost surely, 2^925132492800 is an apocalyptic number.

925132492800 is a gapful number since it is divisible by the number (90) 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 925132492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821743264529).

925132492800 is an abundant number, since it is smaller than the sum of its proper divisors (2718354036258).

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

925132492800 is an frugal number, since it uses more digits than its factorization.

925132492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 925132492800 in words is "nine hundred twenty-five billion, one hundred thirty-two million, four hundred ninety-two thousand, eight hundred".