1166671263600 has 480 divisors, whose sum is σ = 4213614130880. Its totient is φ = 306561024000.

The previous prime is 1166671263533. The next prime is 1166671263629. The reversal of 1166671263600 is 63621766611.

It is a super-2 number, since 2×1166671263600² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252469290 + ... + 252473910.

Almost surely, 2^{1166671263600} is an apocalyptic number.

1166671263600 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 1166671263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106807065440).

1166671263600 is an abundant number, since it is smaller than the sum of its proper divisors (3046942867280).

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

1166671263600 is a wasteful number, since it uses less digits than its factorization.

1166671263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1166671263600 in words is "one trillion, one hundred sixty-six billion, six hundred seventy-one million, two hundred sixty-three thousand, six hundred".