90857475393600 has 168 divisors, whose sum is σ = 298111293540000. Its totient is φ = 24226785812480.

The previous prime is 90857475393563. The next prime is 90857475393617. The reversal of 90857475393600 is 639357475809.

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, 61880776 + ... + 63332024.

Almost surely, 2^{90857475393600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90857475393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149055646770000).

90857475393600 is an abundant number, since it is smaller than the sum of its proper divisors (207253818146400).

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

90857475393600 is a wasteful number, since it uses less digits than its factorization.

90857475393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464317 (or 1464302 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 66.

The spelling of 90857475393600 in words is "ninety trillion, eight hundred fifty-seven billion, four hundred seventy-five million, three hundred ninety-three thousand, six hundred".