90090308952000 has 2688 divisors, whose sum is σ = 399852846581760. Its totient is φ = 18903667507200.

The previous prime is 90090308951987. The next prime is 90090308952013. The reversal of 90090308952000 is 25980309009.

90090308952000 is a `hidden beast` number, since 9 + 0 + 0 + 90 + 30 + 8 + 9 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90090308951987) and next prime (90090308952013).

It is a super-2 number, since 2×90090308952000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56412215202 + ... + 56412216798.

Almost surely, 2^{90090308952000} is an apocalyptic number.

90090308952000 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 90090308952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199926423290880).

90090308952000 is an abundant number, since it is smaller than the sum of its proper divisors (309762537629760).

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

90090308952000 is a wasteful number, since it uses less digits than its factorization.

90090308952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 90090308952000 in words is "ninety trillion, ninety billion, three hundred eight million, nine hundred fifty-two thousand".