90075815424 has 480 divisors, whose sum is σ = 313507434240. Its totient is φ = 25285312512.

The previous prime is 90075815399. The next prime is 90075815437. The reversal of 90075815424 is 42451857009.

It is a super-2 number, since 2×90075815424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90075815424.

It is a congruent number.

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, 51382932 + ... + 51384684.

It is an arithmetic number, because the mean of its divisors is an integer number (653140488).

Almost surely, 2^90075815424 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 90075815424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156753717120).

90075815424 is an abundant number, since it is smaller than the sum of its proper divisors (223431618816).

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

90075815424 is an equidigital number, since it uses as much as digits as its factorization.

90075815424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 90075815424 in words is "ninety billion, seventy-five million, eight hundred fifteen thousand, four hundred twenty-four".