1290574000679 has 64 divisors (see below), whose sum is σ = 1489147545600. Its totient is φ = 1111503224832.

The previous prime is 1290574000643. The next prime is 1290574000693. The reversal of 1290574000679 is 9760004750921.

It is a cyclic number.

It is not a de Polignac number, because 1290574000679 - 2⁴⁰ = 191062372903 is a prime.

It is a super-2 number, since 2×1290574000679² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290574000279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827820902 + ... + 827822460.

It is an arithmetic number, because the mean of its divisors is an integer number (23267930400).

Almost surely, 2^{1290574000679} is an apocalyptic number.

1290574000679 is a deficient number, since it is larger than the sum of its proper divisors (198573544921).

1290574000679 is a wasteful number, since it uses less digits than its factorization.

1290574000679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 1290574000679 in words is "one trillion, two hundred ninety billion, five hundred seventy-four million, six hundred seventy-nine", and thus it is an aban number.