90538501766400 has 864 divisors, whose sum is σ = 335567461057920. Its totient is φ = 23885191249920.

The previous prime is 90538501766393. The next prime is 90538501766417. The reversal of 90538501766400 is 466710583509.

90538501766400 is a `hidden beast` number, since 9 + 0 + 5 + 3 + 8 + 501 + 76 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6321189639 + ... + 6321203961.

Almost surely, 2^{90538501766400} is an apocalyptic number.

90538501766400 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 90538501766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167783730528960).

90538501766400 is an abundant number, since it is smaller than the sum of its proper divisors (245028959291520).

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

90538501766400 is a wasteful number, since it uses less digits than its factorization.

90538501766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 90538501766400 in words is "ninety trillion, five hundred thirty-eight billion, five hundred one million, seven hundred sixty-six thousand, four hundred".