90868632000 has 448 divisors, whose sum is σ = 309303042048. Its totient is φ = 23493120000.

The previous prime is 90868631969. The next prime is 90868632053. The reversal of 90868632000 is 23686809.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197111770 + ... + 197112230.

It is an arithmetic number, because the mean of its divisors is an integer number (690408576).

Almost surely, 2^90868632000 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 90868632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154651521024).

90868632000 is an abundant number, since it is smaller than the sum of its proper divisors (218434410048).

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

90868632000 is a wasteful number, since it uses less digits than its factorization.

90868632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 90868632000 in words is "ninety billion, eight hundred sixty-eight million, six hundred thirty-two thousand".