90753104578800 has 480 divisors, whose sum is σ = 326640464386560. Its totient is φ = 21417657958400.

The previous prime is 90753104578723. The next prime is 90753104578811. The reversal of 90753104578800 is 887540135709.

It is a happy number.

It is a super-2 number, since 2×90753104578800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26043640 + ... + 29321960.

It is an arithmetic number, because the mean of its divisors is an integer number (680500967472).

Almost surely, 2^{90753104578800} 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 90753104578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163320232193280).

90753104578800 is an abundant number, since it is smaller than the sum of its proper divisors (235887359807760).

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

90753104578800 is a wasteful number, since it uses less digits than its factorization.

90753104578800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278441 (or 3278430 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 90753104578800 in words is "ninety trillion, seven hundred fifty-three billion, one hundred four million, five hundred seventy-eight thousand, eight hundred".