1079028972864 has 336 divisors, whose sum is σ = 3462284891520. Its totient is φ = 332171642880.

The previous prime is 1079028972839. The next prime is 1079028972869. The reversal of 1079028972864 is 4682798209701.

1079028972864 is a `hidden beast` number, since 1 + 0 + 79 + 0 + 289 + 7 + 286 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079028972869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10321174 + ... + 10425194.

It is an arithmetic number, because the mean of its divisors is an integer number (10304419320).

Almost surely, 2^{1079028972864} 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 1079028972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731142445760).

1079028972864 is an abundant number, since it is smaller than the sum of its proper divisors (2383255918656).

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

1079028972864 is a wasteful number, since it uses less digits than its factorization.

1079028972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104100 (or 104078 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1079028972864 in words is "one trillion, seventy-nine billion, twenty-eight million, nine hundred seventy-two thousand, eight hundred sixty-four".