90294220800 has 1728 divisors, whose sum is σ = 407523916800. Its totient is φ = 19508428800.

The previous prime is 90294220799. The next prime is 90294220811. The reversal of 90294220800 is 802249209.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 2099865579 + ... + 2099865621.

It is an arithmetic number, because the mean of its divisors is an integer number (235835600).

Almost surely, 2^90294220800 is an apocalyptic number.

90294220800 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 90294220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203761958400).

90294220800 is an abundant number, since it is smaller than the sum of its proper divisors (317229696000).

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

90294220800 is a wasteful number, since it uses less digits than its factorization.

90294220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 90294220800 in words is "ninety billion, two hundred ninety-four million, two hundred twenty thousand, eight hundred".