91872693360 has 480 divisors, whose sum is σ = 377885813760. Its totient is φ = 19524575232.

The previous prime is 91872693349. The next prime is 91872693371. The reversal of 91872693360 is 6339627819.

91872693360 is a `hidden beast` number, since 9 + 18 + 7 + 269 + 3 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (91872693349) and next prime (91872693371).

It is a junction number, because it is equal to n+sod(n) for n = 91872693297 and 91872693306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7104981 + ... + 7117899.

It is an arithmetic number, because the mean of its divisors is an integer number (787262112).

Almost surely, 2^91872693360 is an apocalyptic number.

91872693360 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 91872693360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188942906880).

91872693360 is an abundant number, since it is smaller than the sum of its proper divisors (286013120400).

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

91872693360 is a wasteful number, since it uses less digits than its factorization.

91872693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 91872693360 in words is "ninety-one billion, eight hundred seventy-two million, six hundred ninety-three thousand, three hundred sixty".