1079512688016 has 1125 divisors, whose sum is σ = 3974974959483. Its totient is φ = 282773151360.

The previous prime is 1079512687969. The next prime is 1079512688053. The reversal of 1079512688016 is 6108862159701.

It is a happy number.

The square root of 1079512688016 is 1038996.

It is a perfect power (a square), and thus also a powerful number.

1079512688016 is a `hidden beast` number, since 107 + 9 + 512 + 6 + 8 + 8 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 34822989921 + ... + 34822989951.

Almost surely, 2^{1079512688016} is an apocalyptic number.

1079512688016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1079512688016 is the 1038996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079512688016

1079512688016 is an abundant number, since it is smaller than the sum of its proper divisors (2895462271467).

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

1079512688016 is an frugal number, since it uses more digits than its factorization.

1079512688016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1079512688016 in words is "one trillion, seventy-nine billion, five hundred twelve million, six hundred eighty-eight thousand, sixteen".