91672308364800 has 480 divisors, whose sum is σ = 316062486634752. Its totient is φ = 23378489671680.

The previous prime is 91672308364739. The next prime is 91672308364801. The reversal of 91672308364800 is 846380327619.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91672308364801) 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 47 ways as a sum of consecutive naturals, for example, 8749857162 + ... + 8749867638.

Almost surely, 2^{91672308364800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91672308364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158031243317376).

91672308364800 is an abundant number, since it is smaller than the sum of its proper divisors (224390178269952).

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

91672308364800 is a wasteful number, since it uses less digits than its factorization.

91672308364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20438 (or 20417 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 91672308364800 in words is "ninety-one trillion, six hundred seventy-two billion, three hundred eight million, three hundred sixty-four thousand, eight hundred".