90965532000 has 768 divisors, whose sum is σ = 355335192576. Its totient is φ = 19906560000.

The previous prime is 90965531977. The next prime is 90965532017. The reversal of 90965532000 is 23556909.

It is a self number, because there is not a number n which added to its sum of digits gives 90965532000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471323904 + ... + 471324096.

It is an arithmetic number, because the mean of its divisors is an integer number (462676032).

Almost surely, 2^90965532000 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 90965532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177667596288).

90965532000 is an abundant number, since it is smaller than the sum of its proper divisors (264369660576).

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

90965532000 is a wasteful number, since it uses less digits than its factorization.

90965532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The spelling of 90965532000 in words is "ninety billion, nine hundred sixty-five million, five hundred thirty-two thousand".