90695566080 has 720 divisors, whose sum is σ = 375805016160. Its totient is φ = 20711448576.

The previous prime is 90695566009. The next prime is 90695566081. The reversal of 90695566080 is 8066559609.

90695566080 is a `hidden beast` number, since 9 + 0 + 6 + 9 + 556 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (90695566081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82978014 + ... + 82979106.

Almost surely, 2^90695566080 is an apocalyptic number.

90695566080 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 90695566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187902508080).

90695566080 is an abundant number, since it is smaller than the sum of its proper divisors (285109450080).

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

90695566080 is an equidigital number, since it uses as much as digits as its factorization.

90695566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 90695566080 in words is "ninety billion, six hundred ninety-five million, five hundred sixty-six thousand, eighty".