90988869881952 has 384 divisors, whose sum is σ = 304294956134400. Its totient is φ = 25911324057600.

The previous prime is 90988869881927. The next prime is 90988869882049. The reversal of 90988869881952 is 25918896888909.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3045026052 + ... + 3045055932.

It is an arithmetic number, because the mean of its divisors is an integer number (792434781600).

Almost surely, 2^{90988869881952} 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 90988869881952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152147478067200).

90988869881952 is an abundant number, since it is smaller than the sum of its proper divisors (213306086252448).

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

90988869881952 is a wasteful number, since it uses less digits than its factorization.

90988869881952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31547 (or 31533 counting only the distinct ones).

The product of its (nonzero) digits is 12899450880, while the sum is 90.

The spelling of 90988869881952 in words is "ninety trillion, nine hundred eighty-eight billion, eight hundred sixty-nine million, eight hundred eighty-one thousand, nine hundred fifty-two".