91276837920 has 288 divisors, whose sum is σ = 332896531968. Its totient is φ = 22693945344.

The previous prime is 91276837877. The next prime is 91276837921. The reversal of 91276837920 is 2973867219.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×91276837920² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91276837921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601937 + ... + 2636783.

It is an arithmetic number, because the mean of its divisors is an integer number (1155890736).

Almost surely, 2^91276837920 is an apocalyptic number.

91276837920 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 91276837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166448265984).

91276837920 is an abundant number, since it is smaller than the sum of its proper divisors (241619694048).

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

91276837920 is a wasteful number, since it uses less digits than its factorization.

91276837920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34992 (or 34981 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 91276837920 in words is "ninety-one billion, two hundred seventy-six million, eight hundred thirty-seven thousand, nine hundred twenty".