91279360260 has 576 divisors, whose sum is σ = 321591029760. Its totient is φ = 20756736000.

The previous prime is 91279360241. The next prime is 91279360267. The reversal of 91279360260 is 6206397219.

It is a happy number.

91279360260 is a `hidden beast` number, since 9 + 1 + 27 + 9 + 360 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91279360267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275768295 + ... + 275768625.

It is an arithmetic number, because the mean of its divisors is an integer number (558317760).

Almost surely, 2^91279360260 is an apocalyptic number.

91279360260 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 91279360260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160795514880).

91279360260 is an abundant number, since it is smaller than the sum of its proper divisors (230311669500).

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

91279360260 is a wasteful number, since it uses less digits than its factorization.

91279360260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 91279360260 in words is "ninety-one billion, two hundred seventy-nine million, three hundred sixty thousand, two hundred sixty".