90820630627972 has 48 divisors (see below), whose sum is σ = 185401550960640. Its totient is φ = 38122219792800.

The previous prime is 90820630627943. The next prime is 90820630628017. The reversal of 90820630627972 is 27972603602809.

It is a self number, because there is not a number n which added to its sum of digits gives 90820630627972.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100984354 + ... + 101879737.

It is an arithmetic number, because the mean of its divisors is an integer number (3862532311680).

Almost surely, 2^{90820630627972} is an apocalyptic number.

It is an amenable number.

90820630627972 is an abundant number, since it is smaller than the sum of its proper divisors (94580920332668).

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

90820630627972 is a wasteful number, since it uses less digits than its factorization.

90820630627972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202864432 (or 202864430 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 90820630627972 in words is "ninety trillion, eight hundred twenty billion, six hundred thirty million, six hundred twenty-seven thousand, nine hundred seventy-two".