91567867591200 has 1152 divisors, whose sum is σ = 417583136968704. Its totient is φ = 16799827968000.

The previous prime is 91567867591199. The next prime is 91567867591201. The reversal of 91567867591200 is 219576876519.

It is an interprime number because it is at equal distance from previous prime (91567867591199) and next prime (91567867591201).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (91567867591201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54426610 + ... + 56083790.

It is an arithmetic number, because the mean of its divisors is an integer number (362485361952).

Almost surely, 2^{91567867591200} 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 91567867591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208791568484352).

91567867591200 is an abundant number, since it is smaller than the sum of its proper divisors (326015269377504).

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

91567867591200 is a wasteful number, since it uses less digits than its factorization.

91567867591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657258 (or 1657245 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 66.

The spelling of 91567867591200 in words is "ninety-one trillion, five hundred sixty-seven billion, eight hundred sixty-seven million, five hundred ninety-one thousand, two hundred".