90275347008 has 1008 divisors, whose sum is σ = 345374195712. Its totient is φ = 22034073600.

The previous prime is 90275346947. The next prime is 90275347021. The reversal of 90275347008 is 80074357209.

90275347008 is a `hidden beast` number, since 90 + 27 + 534 + 7 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 710829441 + ... + 710829567.

Almost surely, 2^90275347008 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 90275347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172687097856).

90275347008 is an abundant number, since it is smaller than the sum of its proper divisors (255098848704).

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

90275347008 is a wasteful number, since it uses less digits than its factorization.

90275347008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 90275347008 in words is "ninety billion, two hundred seventy-five million, three hundred forty-seven thousand, eight".