90079557516 has 96 divisors (see below), whose sum is σ = 253010849280. Its totient is φ = 27550746432.

The previous prime is 90079557437. The next prime is 90079557613. The reversal of 90079557516 is 61575597009.

90079557516 is a `hidden beast` number, since 9 + 0 + 0 + 79 + 5 + 57 + 516 = 666.

It is a super-2 number, since 2×90079557516² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42375 + ... + 426561.

It is an arithmetic number, because the mean of its divisors is an integer number (2635529680).

Almost surely, 2^90079557516 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 90079557516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126505424640).

90079557516 is an abundant number, since it is smaller than the sum of its proper divisors (162931291764).

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

90079557516 is a wasteful number, since it uses less digits than its factorization.

90079557516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384380 (or 384372 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The spelling of 90079557516 in words is "ninety billion, seventy-nine million, five hundred fifty-seven thousand, five hundred sixteen".