90845768832000 has 2112 divisors, whose sum is σ = 386089371353088. Its totient is φ = 18546278400000.

The previous prime is 90845768831989. The next prime is 90845768832029. The reversal of 90845768832000 is 23886754809.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14082428775 + ... + 14082435225.

Almost surely, 2^{90845768832000} 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 90845768832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193044685676544).

90845768832000 is an abundant number, since it is smaller than the sum of its proper divisors (295243602521088).

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

90845768832000 is a wasteful number, since it uses less digits than its factorization.

90845768832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 90845768832000 in words is "ninety trillion, eight hundred forty-five billion, seven hundred sixty-eight million, eight hundred thirty-two thousand".