90525122688 has 1024 divisors, whose sum is σ = 341118812160. Its totient is φ = 20514816000.

The previous prime is 90525122683. The next prime is 90525122729. The reversal of 90525122688 is 88622152509.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (90525122683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 846029131 + ... + 846029237.

It is an arithmetic number, because the mean of its divisors is an integer number (333123840).

Almost surely, 2^90525122688 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 90525122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170559406080).

90525122688 is an abundant number, since it is smaller than the sum of its proper divisors (250593689472).

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

90525122688 is a wasteful number, since it uses less digits than its factorization.

90525122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 90525122688 in words is "ninety billion, five hundred twenty-five million, one hundred twenty-two thousand, six hundred eighty-eight".