90125430400 has 48 divisors (see below), whose sum is σ = 222637985190. Its totient is φ = 36050170880.

The previous prime is 90125430341. The next prime is 90125430431. The reversal of 90125430400 is 403452109.

It can be written as a sum of positive squares in 3 ways, for example, as 41841520704 + 48283909696 = 204552^2 + 219736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14078899 + ... + 14085298.

Almost surely, 2^90125430400 is an apocalyptic number.

It is an amenable number.

90125430400 is an abundant number, since it is smaller than the sum of its proper divisors (132512554790).

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

90125430400 is a wasteful number, since it uses less digits than its factorization.

90125430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28164221 (or 28164204 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 90125430400 its reverse (403452109), we get a palindrome (90528882509).

The spelling of 90125430400 in words is "ninety billion, one hundred twenty-five million, four hundred thirty thousand, four hundred".