90975167206560 has 2304 divisors, whose sum is σ = 410602252999680. Its totient is φ = 18633615114240.

The previous prime is 90975167206541. The next prime is 90975167206601. The reversal of 90975167206560 is 6560276157909.

90975167206560 is a `hidden beast` number, since 9 + 0 + 9 + 7 + 5 + 1 + 67 + 2 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65876297070 + ... + 65876298450.

It is an arithmetic number, because the mean of its divisors is an integer number (178212783420).

Almost surely, 2^{90975167206560} is an apocalyptic number.

90975167206560 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 90975167206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205301126499840).

90975167206560 is an abundant number, since it is smaller than the sum of its proper divisors (319627085793120).

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

90975167206560 is a wasteful number, since it uses less digits than its factorization.

90975167206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 90975167206560 in words is "ninety trillion, nine hundred seventy-five billion, one hundred sixty-seven million, two hundred six thousand, five hundred sixty".