90795218038800 has 720 divisors, whose sum is σ = 337340675064960. Its totient is φ = 20817334067200.

The previous prime is 90795218038757. The next prime is 90795218038829. The reversal of 90795218038800 is 883081259709.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 297071662 + ... + 297377138.

It is an arithmetic number, because the mean of its divisors is an integer number (468528715368).

Almost surely, 2^{90795218038800} 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 90795218038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168670337532480).

90795218038800 is an abundant number, since it is smaller than the sum of its proper divisors (246545457026160).

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

90795218038800 is a wasteful number, since it uses less digits than its factorization.

90795218038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305632 (or 305610 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 90795218038800 in words is "ninety trillion, seven hundred ninety-five billion, two hundred eighteen million, thirty-eight thousand, eight hundred".