91766228400 has 1680 divisors, whose sum is σ = 425123766528. Its totient is φ = 18475776000.

The previous prime is 91766228383. The next prime is 91766228401. The reversal of 91766228400 is 482266719.

It is a happy number.

91766228400 is a `hidden beast` number, since 9 + 17 + 6 + 6 + 228 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91766228401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1369645167 + ... + 1369645233.

Almost surely, 2^91766228400 is an apocalyptic number.

91766228400 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 91766228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212561883264).

91766228400 is an abundant number, since it is smaller than the sum of its proper divisors (333357538128).

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

91766228400 is a wasteful number, since it uses less digits than its factorization.

91766228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 91766228400 in words is "ninety-one billion, seven hundred sixty-six million, two hundred twenty-eight thousand, four hundred".