90958120800 has 288 divisors, whose sum is σ = 300074544000. Its totient is φ = 23929651200.

The previous prime is 90958120789. The next prime is 90958120807. The reversal of 90958120800 is 802185909.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90958120807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60678451 + ... + 60679949.

It is an arithmetic number, because the mean of its divisors is an integer number (1041925500).

Almost surely, 2^90958120800 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 90958120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150037272000).

90958120800 is an abundant number, since it is smaller than the sum of its proper divisors (209116423200).

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

90958120800 is a wasteful number, since it uses less digits than its factorization.

90958120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 90958120800 in words is "ninety billion, nine hundred fifty-eight million, one hundred twenty thousand, eight hundred".