1074885978672 has 120 divisors (see below), whose sum is σ = 3305613851280. Its totient is φ = 323345418240.

The previous prime is 1074885978619. The next prime is 1074885978737. The reversal of 1074885978672 is 2768795884701.

1074885978672 is a `hidden beast` number, since 1 + 0 + 7 + 488 + 5 + 9 + 78 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1074885978672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259597 + ... + 2693612.

It is an arithmetic number, because the mean of its divisors is an integer number (27546782094).

Almost surely, 2^{1074885978672} is an apocalyptic number.

1074885978672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1074885978672 is an abundant number, since it is smaller than the sum of its proper divisors (2230727872608).

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

1074885978672 is a wasteful number, since it uses less digits than its factorization.

1074885978672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953371 (or 4953362 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

It can be divided in two parts, 10748859 and 78672, that added together give a triangular number (10827531 = T₄₆₅₃).

The spelling of 1074885978672 in words is "one trillion, seventy-four billion, eight hundred eighty-five million, nine hundred seventy-eight thousand, six hundred seventy-two".