91088879616 has 288 divisors, whose sum is σ = 308531825280. Its totient is φ = 26018316288.

The previous prime is 91088879569. The next prime is 91088879627. The reversal of 91088879616 is 61697888019.

91088879616 is a `hidden beast` number, since 9 + 1 + 0 + 8 + 8 + 8 + 7 + 9 + 616 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24770770 + ... + 24774446.

It is an arithmetic number, because the mean of its divisors is an integer number (1071291060).

Almost surely, 2^91088879616 is an apocalyptic number.

91088879616 is a gapful number since it is divisible by the number (96) 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 91088879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154265912640).

91088879616 is an abundant number, since it is smaller than the sum of its proper divisors (217442945664).

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

91088879616 is an frugal number, since it uses more digits than its factorization.

91088879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 91088879616 in words is "ninety-one billion, eighty-eight million, eight hundred seventy-nine thousand, six hundred sixteen".