90518164800 has 1008 divisors, whose sum is σ = 366317125632. Its totient is φ = 19140710400.

The previous prime is 90518164771. The next prime is 90518164823. The reversal of 90518164800 is 846181509.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1925918377 + ... + 1925918423.

Almost surely, 2^90518164800 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 90518164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183158562816).

90518164800 is an abundant number, since it is smaller than the sum of its proper divisors (275798960832).

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

90518164800 is a wasteful number, since it uses less digits than its factorization.

90518164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 90518164800 in words is "ninety billion, five hundred eighteen million, one hundred sixty-four thousand, eight hundred".