90871986400 has 288 divisors, whose sum is σ = 247542656256. Its totient is φ = 32348160000.

The previous prime is 90871986389. The next prime is 90871986419. The reversal of 90871986400 is 468917809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167970130 + ... + 167970670.

It is an arithmetic number, because the mean of its divisors is an integer number (859523112).

Almost surely, 2^90871986400 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 90871986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123771328128).

90871986400 is an abundant number, since it is smaller than the sum of its proper divisors (156670669856).

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

90871986400 is a wasteful number, since it uses less digits than its factorization.

90871986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 90871986400 in words is "ninety billion, eight hundred seventy-one million, nine hundred eighty-six thousand, four hundred".