90207965675520 has 1472 divisors, whose sum is σ = 400076155929600. Its totient is φ = 18735452651520.

The previous prime is 90207965675461. The next prime is 90207965675521. The reversal of 90207965675520 is 2557656970209.

90207965675520 is a `hidden beast` number, since 9 + 0 + 2 + 0 + 79 + 6 + 5 + 6 + 7 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90207965675521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43599789046 + ... + 43599791114.

It is an arithmetic number, because the mean of its divisors is an integer number (271790866800).

Almost surely, 2^{90207965675520} is an apocalyptic number.

90207965675520 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 90207965675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200038077964800).

90207965675520 is an abundant number, since it is smaller than the sum of its proper divisors (309868190254080).

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

90207965675520 is an frugal number, since it uses more digits than its factorization.

90207965675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 90207965675520 in words is "ninety trillion, two hundred seven billion, nine hundred sixty-five million, six hundred seventy-five thousand, five hundred twenty".