91672816435200 has 5760 divisors, whose sum is σ = 464169457920000. Its totient is φ = 17583597158400.

The previous prime is 91672816435159. The next prime is 91672816435253. The reversal of 91672816435200 is 253461827619.

It is a happy number.

91672816435200 is a `hidden beast` number, since 9 + 1 + 6 + 7 + 281 + 6 + 4 + 352 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7051755110394 + ... + 7051755110406.

It is a 1-persistent number, because it is pandigital, but 2⋅91672816435200 = 183345632870400 is not.

Almost surely, 2^{91672816435200} is an apocalyptic number.

91672816435200 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 91672816435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232084728960000).

91672816435200 is an abundant number, since it is smaller than the sum of its proper divisors (372496641484800).

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

91672816435200 is an equidigital number, since it uses as much as digits as its factorization.

91672816435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 91672816435200 in words is "ninety-one trillion, six hundred seventy-two billion, eight hundred sixteen million, four hundred thirty-five thousand, two hundred".