91001515686480 has 960 divisors, whose sum is σ = 368855106048000. Its totient is φ = 20076964024320.

The previous prime is 91001515686479. The next prime is 91001515686491. The reversal of 91001515686480 is 8468651510019.

91001515686480 is a `hidden beast` number, since 9 + 1 + 0 + 0 + 1 + 5 + 156 + 8 + 6 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2978075362 + ... + 2978105918.

It is an arithmetic number, because the mean of its divisors is an integer number (384224068800).

Almost surely, 2^{91001515686480} is an apocalyptic number.

91001515686480 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 91001515686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184427553024000).

91001515686480 is an abundant number, since it is smaller than the sum of its proper divisors (277853590361520).

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

91001515686480 is a wasteful number, since it uses less digits than its factorization.

91001515686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31017 (or 30994 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 91001515686480 in words is "ninety-one trillion, one billion, five hundred fifteen million, six hundred eighty-six thousand, four hundred eighty".