1349861772960 has 672 divisors, whose sum is σ = 4951819256832. Its totient is φ = 347210219520.

The previous prime is 1349861772943. The next prime is 1349861772979. The reversal of 1349861772960 is 692771689431.

1349861772960 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 8 + 617 + 7 + 2 + 9 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2086339357 + ... + 2086340003.

It is an arithmetic number, because the mean of its divisors is an integer number (7368778656).

Almost surely, 2^{1349861772960} is an apocalyptic number.

1349861772960 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 1349861772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475909628416).

1349861772960 is an abundant number, since it is smaller than the sum of its proper divisors (3601957483872).

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

1349861772960 is an equidigital number, since it uses as much as digits as its factorization.

1349861772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1349861772960 in words is "one trillion, three hundred forty-nine billion, eight hundred sixty-one million, seven hundred seventy-two thousand, nine hundred sixty".