90091877400 has 720 divisors, whose sum is σ = 380013810000. Its totient is φ = 19374059520.

The previous prime is 90091877371. The next prime is 90091877401. The reversal of 90091877400 is 477819009.

90091877400 is a `hidden beast` number, since 90 + 0 + 91 + 8 + 77 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90091877401) 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 179 ways as a sum of consecutive naturals, for example, 32771226 + ... + 32773974.

Almost surely, 2^90091877400 is an apocalyptic number.

90091877400 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 90091877400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190006905000).

90091877400 is an abundant number, since it is smaller than the sum of its proper divisors (289921932600).

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

90091877400 is a wasteful number, since it uses less digits than its factorization.

90091877400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 90091877400 in words is "ninety billion, ninety-one million, eight hundred seventy-seven thousand, four hundred".