91679142870 has 320 divisors, whose sum is σ = 300835814400. Its totient is φ = 19576795392.

The previous prime is 91679142859. The next prime is 91679142871. The reversal of 91679142870 is 7824197619.

91679142870 is a `hidden beast` number, since 9 + 1 + 67 + 91 + 428 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91679142871) 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 159 ways as a sum of consecutive naturals, for example, 5599456 + ... + 5615804.

It is an arithmetic number, because the mean of its divisors is an integer number (940111920).

Almost surely, 2^91679142870 is an apocalyptic number.

91679142870 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91679142870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150417907200).

91679142870 is an abundant number, since it is smaller than the sum of its proper divisors (209156671530).

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

91679142870 is a wasteful number, since it uses less digits than its factorization.

91679142870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16441 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 91679142870 in words is "ninety-one billion, six hundred seventy-nine million, one hundred forty-two thousand, eight hundred seventy".