1316057965200 has 360 divisors, whose sum is σ = 5166809365536. Its totient is φ = 319044096000.

The previous prime is 1316057965181. The next prime is 1316057965231. The reversal of 1316057965200 is 25697506131.

1316057965200 is a `hidden beast` number, since 1 + 3 + 16 + 0 + 579 + 65 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1316057965200² (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 71 ways as a sum of consecutive naturals, for example, 453760 + ... + 1684640.

Almost surely, 2^{1316057965200} is an apocalyptic number.

1316057965200 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 1316057965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583404682768).

1316057965200 is an abundant number, since it is smaller than the sum of its proper divisors (3850751400336).

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

1316057965200 is a wasteful number, since it uses less digits than its factorization.

1316057965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230925 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1316057965200 in words is "one trillion, three hundred sixteen billion, fifty-seven million, nine hundred sixty-five thousand, two hundred".