90841525600 has 144 divisors (see below), whose sum is σ = 262187906400. Its totient is φ = 30071623680.

The previous prime is 90841525561. The next prime is 90841525657. The reversal of 90841525600 is 652514809.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117285 + ... + 442084.

It is an arithmetic number, because the mean of its divisors is an integer number (1820749350).

Almost surely, 2^90841525600 is an apocalyptic number.

It is an amenable number.

90841525600 is an abundant number, since it is smaller than the sum of its proper divisors (171346380800).

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

90841525600 is a wasteful number, since it uses less digits than its factorization.

90841525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559425 (or 559412 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 90841525600 in words is "ninety billion, eight hundred forty-one million, five hundred twenty-five thousand, six hundred".