1079966131200 has 1320 divisors, whose sum is σ = 4411642324320. Its totient is φ = 258873753600.

The previous prime is 1079966131193. The next prime is 1079966131253. The reversal of 1079966131200 is 21316699701.

1079966131200 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 9 + 6 + 613 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×1079966131200² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2577484591 + ... + 2577485009.

It is an arithmetic number, because the mean of its divisors is an integer number (3342153276).

Almost surely, 2^{1079966131200} is an apocalyptic number.

1079966131200 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 1079966131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205821162160).

1079966131200 is an abundant number, since it is smaller than the sum of its proper divisors (3331676193120).

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

1079966131200 is a wasteful number, since it uses less digits than its factorization.

1079966131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1079966131200 in words is "one trillion, seventy-nine billion, nine hundred sixty-six million, one hundred thirty-one thousand, two hundred".