90264115846530 has 96 divisors (see below), whose sum is σ = 235859972781888. Its totient is φ = 23950154390400.

The previous prime is 90264115846517. The next prime is 90264115846543. The reversal of 90264115846530 is 3564851146209.

90264115846530 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 4 + 1 + 1 + 584 + 6 + 53 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90264115846517) and next prime (90264115846543).

It is a super-2 number, since 2×90264115846530² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73011225 + ... + 74237235.

It is an arithmetic number, because the mean of its divisors is an integer number (2456874716478).

Almost surely, 2^{90264115846530} is an apocalyptic number.

90264115846530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90264115846530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117929986390944).

90264115846530 is an abundant number, since it is smaller than the sum of its proper divisors (145595856935358).

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

90264115846530 is a wasteful number, since it uses less digits than its factorization.

90264115846530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230112 (or 1230109 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 90264115846530 in words is "ninety trillion, two hundred sixty-four billion, one hundred fifteen million, eight hundred forty-six thousand, five hundred thirty".