90352100160 has 896 divisors, whose sum is σ = 378517708800. Its totient is φ = 19860111360.

The previous prime is 90352100131. The next prime is 90352100207. The reversal of 90352100160 is 6100125309.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 205813221 + ... + 205813659.

It is an arithmetic number, because the mean of its divisors is an integer number (422452800).

Almost surely, 2^90352100160 is an apocalyptic number.

90352100160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90352100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189258854400).

90352100160 is an abundant number, since it is smaller than the sum of its proper divisors (288165608640).

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

90352100160 is a wasteful number, since it uses less digits than its factorization.

90352100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 90352100160 its reverse (6100125309), we get a palindrome (96452225469).

The spelling of 90352100160 in words is "ninety billion, three hundred fifty-two million, one hundred thousand, one hundred sixty".