1166745625600 has 297 divisors, whose sum is σ = 2979918573507. Its totient is φ = 452941332480.

The previous prime is 1166745625561. The next prime is 1166745625601. The reversal of 1166745625600 is 65265476611.

The square root of 1166745625600 is 1080160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 141111419904 + 1025634205696 = 375648^2 + 1012736^2 .

It is a super-2 number, since 2×1166745625600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1166745625601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7431500722 + ... + 7431500878.

Almost surely, 2^{1166745625600} is an apocalyptic number.

1166745625600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1166745625600 is the 1080160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166745625600

1166745625600 is an abundant number, since it is smaller than the sum of its proper divisors (1813172947907).

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

1166745625600 is an frugal number, since it uses more digits than its factorization.

1166745625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 1166745625600 by its sum of digits (49), we get a square (57170535654400 = 7561120²).

The spelling of 1166745625600 in words is "one trillion, one hundred sixty-six billion, seven hundred forty-five million, six hundred twenty-five thousand, six hundred".