91013299937280 has 1568 divisors, whose sum is σ = 375396079751424. Its totient is φ = 20740023779328.

The previous prime is 91013299937269. The next prime is 91013299937281. The reversal of 91013299937280 is 8273999231019.

91013299937280 is a `hidden beast` number, since 91 + 0 + 13 + 2 + 9 + 99 + 372 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (91013299937281) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 135235215024 + ... + 135235215696.

Almost surely, 2^{91013299937280} is an apocalyptic number.

91013299937280 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 91013299937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187698039875712).

91013299937280 is an abundant number, since it is smaller than the sum of its proper divisors (284382779814144).

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

91013299937280 is an frugal number, since it uses more digits than its factorization.

91013299937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 91013299937280 in words is "ninety-one trillion, thirteen billion, two hundred ninety-nine million, nine hundred thirty-seven thousand, two hundred eighty".