1166501532672 has 792 divisors, whose sum is σ = 4170133596096. Its totient is φ = 312973000704.

The previous prime is 1166501532659. The next prime is 1166501532701. The reversal of 1166501532672 is 2762351056611.

1166501532672 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 50 + 1 + 532 + 67 + 2 = 666.

It is a super-2 number, since 2×1166501532672² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2633186083 + ... + 2633186525.

Almost surely, 2^{1166501532672} is an apocalyptic number.

1166501532672 is a gapful number since it is divisible by the number (12) 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 1166501532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085066798048).

1166501532672 is an abundant number, since it is smaller than the sum of its proper divisors (3003632063424).

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

1166501532672 is an frugal number, since it uses more digits than its factorization.

1166501532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1166501532672 in words is "one trillion, one hundred sixty-six billion, five hundred one million, five hundred thirty-two thousand, six hundred seventy-two".