90125350272 has 256 divisors, whose sum is σ = 281578752000. Its totient is φ = 28299663360.

The previous prime is 90125350153. The next prime is 90125350309. The reversal of 90125350272 is 27205352109.

90125350272 is a `hidden beast` number, since 90 + 1 + 253 + 50 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11881393 + ... + 11888975.

It is an arithmetic number, because the mean of its divisors is an integer number (1099917000).

Almost surely, 2^90125350272 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 90125350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140789376000).

90125350272 is an abundant number, since it is smaller than the sum of its proper divisors (191453401728).

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

90125350272 is a wasteful number, since it uses less digits than its factorization.

90125350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 90125350272 in words is "ninety billion, one hundred twenty-five million, three hundred fifty thousand, two hundred seventy-two".