90938764800 has 1080 divisors, whose sum is σ = 367569145944. Its totient is φ = 22255534080.

The previous prime is 90938764789. The next prime is 90938764811. The reversal of 90938764800 is 846783909.

90938764800 is a `hidden beast` number, since 9 + 0 + 93 + 8 + 76 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90938764789) and next prime (90938764811).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 107 ways as a sum of consecutive naturals, for example, 525657514 + ... + 525657686.

Almost surely, 2^90938764800 is an apocalyptic number.

90938764800 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 90938764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183784572972).

90938764800 is an abundant number, since it is smaller than the sum of its proper divisors (276630381144).

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

90938764800 is a wasteful number, since it uses less digits than its factorization.

90938764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 90938764800 in words is "ninety billion, nine hundred thirty-eight million, seven hundred sixty-four thousand, eight hundred".