90678719324160 has 896 divisors, whose sum is σ = 351977929113600. Its totient is φ = 21965482229760.

The previous prime is 90678719324147. The next prime is 90678719324173. The reversal of 90678719324160 is 6142391787609.

90678719324160 is a `hidden beast` number, since 9 + 0 + 67 + 8 + 71 + 93 + 2 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90678719324147) and next prime (90678719324173).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22858258497 + ... + 22858262463.

Almost surely, 2^{90678719324160} is an apocalyptic number.

90678719324160 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 90678719324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988964556800).

90678719324160 is an abundant number, since it is smaller than the sum of its proper divisors (261299209789440).

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

90678719324160 is a wasteful number, since it uses less digits than its factorization.

90678719324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 90678719324160 in words is "ninety trillion, six hundred seventy-eight billion, seven hundred nineteen million, three hundred twenty-four thousand, one hundred sixty".