91137667920 has 240 divisors, whose sum is σ = 310138483200. Its totient is φ = 22008489984.

The previous prime is 91137667919. The next prime is 91137667921. The reversal of 91137667920 is 2976673119.

It is an interprime number because it is at equal distance from previous prime (91137667919) and next prime (91137667921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91137667921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8758881 + ... + 8769279.

It is an arithmetic number, because the mean of its divisors is an integer number (1292243680).

Almost surely, 2^91137667920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91137667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155069241600).

91137667920 is an abundant number, since it is smaller than the sum of its proper divisors (219000815280).

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

91137667920 is a wasteful number, since it uses less digits than its factorization.

91137667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 91137667920 in words is "ninety-one billion, one hundred thirty-seven million, six hundred sixty-seven thousand, nine hundred twenty".