90517796167680 has 1344 divisors, whose sum is σ = 368110150207488. Its totient is φ = 20147066634240.

The previous prime is 90517796167531. The next prime is 90517796167693. The reversal of 90517796167680 is 8676169771509.

90517796167680 is a `hidden beast` number, since 9 + 0 + 517 + 7 + 96 + 16 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 90517796167599 and 90517796167608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18736862865 + ... + 18736867695.

Almost surely, 2^{90517796167680} is an apocalyptic number.

90517796167680 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 90517796167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184055075103744).

90517796167680 is an abundant number, since it is smaller than the sum of its proper divisors (277592354039808).

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

90517796167680 is a wasteful number, since it uses less digits than its factorization.

90517796167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 90517796167680 in words is "ninety trillion, five hundred seventeen billion, seven hundred ninety-six million, one hundred sixty-seven thousand, six hundred eighty".