90997941600 has 432 divisors, whose sum is σ = 329933507904. Its totient is φ = 23587200000.

The previous prime is 90997941577. The next prime is 90997941607. The reversal of 90997941600 is 614979909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90997941607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77709015 + ... + 77710185.

It is an arithmetic number, because the mean of its divisors is an integer number (763734972).

Almost surely, 2^90997941600 is an apocalyptic number.

90997941600 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 90997941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164966753952).

90997941600 is an abundant number, since it is smaller than the sum of its proper divisors (238935566304).

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

90997941600 is a wasteful number, since it uses less digits than its factorization.

90997941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 90997941600 in words is "ninety billion, nine hundred ninety-seven million, nine hundred forty-one thousand, six hundred".