91779058800 has 1680 divisors, whose sum is σ = 406569977856. Its totient is φ = 19595520000.

The previous prime is 91779058793. The next prime is 91779058837. The reversal of 91779058800 is 885097719.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1292662765 + ... + 1292662835.

Almost surely, 2^91779058800 is an apocalyptic number.

91779058800 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 91779058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203284988928).

91779058800 is an abundant number, since it is smaller than the sum of its proper divisors (314790919056).

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

91779058800 is a wasteful number, since it uses less digits than its factorization.

91779058800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 91779058800 in words is "ninety-one billion, seven hundred seventy-nine million, fifty-eight thousand, eight hundred".