91255552819200 has 3960 divisors, whose sum is σ = 431857997860800. Its totient is φ = 18962192793600.

The previous prime is 91255552819183. The next prime is 91255552819201. The reversal of 91255552819200 is 291825555219.

91255552819200 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 5 + 552 + 81 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91255552819201) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 8295959347195 + ... + 8295959347205.

Almost surely, 2^{91255552819200} is an apocalyptic number.

91255552819200 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 91255552819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215928998930400).

91255552819200 is an abundant number, since it is smaller than the sum of its proper divisors (340602445041600).

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

91255552819200 is an frugal number, since it uses more digits than its factorization.

91255552819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 54.

The spelling of 91255552819200 in words is "ninety-one trillion, two hundred fifty-five billion, five hundred fifty-two million, eight hundred nineteen thousand, two hundred".