90051165504000 has 1120 divisors, whose sum is σ = 337818666721536. Its totient is φ = 23931616665600.

The previous prime is 90051165503969. The next prime is 90051165504007. The reversal of 90051165504000 is 40556115009.

90051165504000 is a `hidden beast` number, since 9 + 0 + 0 + 51 + 16 + 550 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90051165504007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14323388857 + ... + 14323395143.

Almost surely, 2^{90051165504000} is an apocalyptic number.

90051165504000 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 90051165504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168909333360768).

90051165504000 is an abundant number, since it is smaller than the sum of its proper divisors (247767501217536).

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

90051165504000 is an frugal number, since it uses more digits than its factorization.

90051165504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 90051165504000 in words is "ninety trillion, fifty-one billion, one hundred sixty-five million, five hundred four thousand".