1166231001600 has 2400 divisors, whose sum is σ = 5235391092096. Its totient is φ = 250822656000.

The previous prime is 1166231001571. The next prime is 1166231001619. The reversal of 1166231001600 is 61001326611.

1166231001600 is a `hidden beast` number, since 1 + 16 + 623 + 10 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11546841550 + ... + 11546841650.

Almost surely, 2^{1166231001600} is an apocalyptic number.

1166231001600 is a gapful number since it is divisible by the number (10) 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 1166231001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617695546048).

1166231001600 is an abundant number, since it is smaller than the sum of its proper divisors (4069160090496).

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

1166231001600 is a wasteful number, since it uses less digits than its factorization.

1166231001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1166231001600 in words is "one trillion, one hundred sixty-six billion, two hundred thirty-one million, one thousand, six hundred".