90077667102720 has 1248 divisors, whose sum is σ = 362834774265600. Its totient is φ = 20428105973760.

The previous prime is 90077667102707. The next prime is 90077667102727. The reversal of 90077667102720 is 2720176677009.

It is a super-2 number, since 2×90077667102720² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90077667102727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5756121456 + ... + 5756137104.

It is an arithmetic number, because the mean of its divisors is an integer number (290732992200).

Almost surely, 2^{90077667102720} is an apocalyptic number.

90077667102720 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 90077667102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181417387132800).

90077667102720 is an abundant number, since it is smaller than the sum of its proper divisors (272757107162880).

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

90077667102720 is a wasteful number, since it uses less digits than its factorization.

90077667102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15879 (or 15854 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 90077667102720 in words is "ninety trillion, seventy-seven billion, six hundred sixty-seven million, one hundred two thousand, seven hundred twenty".