91866028651200 has 336 divisors, whose sum is σ = 334978349254560. Its totient is φ = 24490830090240.

The previous prime is 91866028651169. The next prime is 91866028651223. The reversal of 91866028651200 is 215682066819.

91866028651200 is a `hidden beast` number, since 9 + 1 + 8 + 6 + 602 + 8 + 6 + 5 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×91866028651200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156826054 + ... + 157410746.

Almost surely, 2^{91866028651200} is an apocalyptic number.

91866028651200 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 91866028651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489174627280).

91866028651200 is an abundant number, since it is smaller than the sum of its proper divisors (243112320603360).

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

91866028651200 is a wasteful number, since it uses less digits than its factorization.

91866028651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588361 (or 588340 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 91866028651200 in words is "ninety-one trillion, eight hundred sixty-six billion, twenty-eight million, six hundred fifty-one thousand, two hundred".