91078732800 has 990 divisors, whose sum is σ = 371998894540. Its totient is φ = 22079692800.

The previous prime is 91078732783. The next prime is 91078732807. The reversal of 91078732800 is 823787019.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (990).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91078732807) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8279884795 + ... + 8279884805.

Almost surely, 2^91078732800 is an apocalyptic number.

91078732800 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 91078732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185999447270).

91078732800 is an abundant number, since it is smaller than the sum of its proper divisors (280920161740).

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

91078732800 is an frugal number, since it uses more digits than its factorization.

91078732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 91078732800 in words is "ninety-one billion, seventy-eight million, seven hundred thirty-two thousand, eight hundred".