91387699200 has 840 divisors, whose sum is σ = 387397398432. Its totient is φ = 20862074880.

The previous prime is 91387699199. The next prime is 91387699259. The reversal of 91387699200 is 299678319.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 116121207 + ... + 116121993.

Almost surely, 2^91387699200 is an apocalyptic number.

91387699200 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 91387699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193698699216).

91387699200 is an abundant number, since it is smaller than the sum of its proper divisors (296009699232).

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

91387699200 is an equidigital number, since it uses as much as digits as its factorization.

91387699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 91387699200 in words is "ninety-one billion, three hundred eighty-seven million, six hundred ninety-nine thousand, two hundred".