90625277952 has 420 divisors, whose sum is σ = 298416198696. Its totient is φ = 27179089920.

The previous prime is 90625277947. The next prime is 90625277959. The reversal of 90625277952 is 25977252609.

90625277952 is a `hidden beast` number, since 9 + 0 + 62 + 527 + 7 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90625277959) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 934281168 + ... + 934281264.

Almost surely, 2^90625277952 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 90625277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149208099348).

90625277952 is an abundant number, since it is smaller than the sum of its proper divisors (207790920744).

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

90625277952 is an frugal number, since it uses more digits than its factorization.

90625277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 90625277952 in words is "ninety billion, six hundred twenty-five million, two hundred seventy-seven thousand, nine hundred fifty-two".