90887878920 has 256 divisors, whose sum is σ = 288987264000. Its totient is φ = 22839238656.

The previous prime is 90887878919. The next prime is 90887878943. The reversal of 90887878920 is 2987878809.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18587836 + ... + 18592724.

It is an arithmetic number, because the mean of its divisors is an integer number (1128856500).

Almost surely, 2^90887878920 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 90887878920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144493632000).

90887878920 is an abundant number, since it is smaller than the sum of its proper divisors (198099385080).

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

90887878920 is a wasteful number, since it uses less digits than its factorization.

90887878920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 66.

It can be divided in two parts, 908878789 and 20, that added together give a palindrome (908878809).

The spelling of 90887878920 in words is "ninety billion, eight hundred eighty-seven million, eight hundred seventy-eight thousand, nine hundred twenty".