90900596973600 has 288 divisors, whose sum is σ = 328767378791040. Its totient is φ = 24239405675520.

The previous prime is 90900596973581. The next prime is 90900596973607. The reversal of 90900596973600 is 637969500909.

90900596973600 is a `hidden beast` number, since 9 + 0 + 9 + 0 + 0 + 596 + 9 + 7 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (90900596973607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1231962309 + ... + 1232036091.

It is an arithmetic number, because the mean of its divisors is an integer number (1141553398580).

Almost surely, 2^{90900596973600} is an apocalyptic number.

90900596973600 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 90900596973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164383689395520).

90900596973600 is an abundant number, since it is smaller than the sum of its proper divisors (237866781817440).

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

90900596973600 is a wasteful number, since it uses less digits than its factorization.

90900596973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130849 (or 130830 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 90900596973600 in words is "ninety trillion, nine hundred billion, five hundred ninety-six million, nine hundred seventy-three thousand, six hundred".