90352956825600 has 1680 divisors, whose sum is σ = 363809208506112. Its totient is φ = 19746768814080.

The previous prime is 90352956825559. The next prime is 90352956825617. The reversal of 90352956825600 is 652865925309.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33929009869 + ... + 33929012531.

Almost surely, 2^{90352956825600} 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 90352956825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181904604253056).

90352956825600 is an abundant number, since it is smaller than the sum of its proper divisors (273456251680512).

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

90352956825600 is an equidigital number, since it uses as much as digits as its factorization.

90352956825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 90352956825600 in words is "ninety trillion, three hundred fifty-two billion, nine hundred fifty-six million, eight hundred twenty-five thousand, six hundred".