90199238385528 has 96 divisors (see below), whose sum is σ = 245395924122960. Its totient is φ = 29930282880000.

The previous prime is 90199238385469. The next prime is 90199238385587. The reversal of 90199238385528 is 82558383299109.

90199238385528 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 9 + 2 + 38 + 38 + 552 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (90199238385469) and next prime (90199238385587).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134290528 + ... + 134960528.

Almost surely, 2^{90199238385528} is an apocalyptic number.

It is an amenable number.

90199238385528 is an abundant number, since it is smaller than the sum of its proper divisors (155196685737432).

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

90199238385528 is a wasteful number, since it uses less digits than its factorization.

90199238385528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678477 (or 678470 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 90199238385528 in words is "ninety trillion, one hundred ninety-nine billion, two hundred thirty-eight million, three hundred eighty-five thousand, five hundred twenty-eight".