1379767107712 has 128 divisors (see below), whose sum is σ = 3253041936000. Its totient is φ = 570361430016.

The previous prime is 1379767107701. The next prime is 1379767107757. The reversal of 1379767107712 is 2177017679731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1379767107712³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26191543 + ... + 26244169.

It is an arithmetic number, because the mean of its divisors is an integer number (25414390125).

Almost surely, 2^{1379767107712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379767107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626520968000).

1379767107712 is an abundant number, since it is smaller than the sum of its proper divisors (1873274828288).

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

1379767107712 is a wasteful number, since it uses less digits than its factorization.

1379767107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53686 (or 53674 counting only the distinct ones).

The product of its (nonzero) digits is 5445468, while the sum is 58.

The spelling of 1379767107712 in words is "one trillion, three hundred seventy-nine billion, seven hundred sixty-seven million, one hundred seven thousand, seven hundred twelve".