90530414720800 has 36 divisors (see below), whose sum is σ = 221007374939106. Its totient is φ = 36212165888000.

The previous prime is 90530414720791. The next prime is 90530414720807. The reversal of 90530414720800 is 802741403509.

It can be written as a sum of positive squares in 3 ways, for example, as 74240763550864 + 16289651169936 = 8616308^2 + 4036044^2 .

It is not an unprimeable number, because it can be changed into a prime (90530414720807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56581508401 + ... + 56581510000.

Almost surely, 2^{90530414720800} is an apocalyptic number.

It is an amenable number.

90530414720800 is an abundant number, since it is smaller than the sum of its proper divisors (130476960218306).

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

90530414720800 is a wasteful number, since it uses less digits than its factorization.

90530414720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113163018421 (or 113163018408 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 90530414720800 in words is "ninety trillion, five hundred thirty billion, four hundred fourteen million, seven hundred twenty thousand, eight hundred".