1079312256000 has 2112 divisors, whose sum is σ = 4586884848000. Its totient is φ = 249790464000.

The previous prime is 1079312255969. The next prime is 1079312256013. The reversal of 1079312256000 is 6522139701.

1079312256000 is a `hidden beast` number, since 1 + 0 + 7 + 93 + 1 + 2 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12127103956 + ... + 12127104044.

Almost surely, 2^{1079312256000} is an apocalyptic number.

1079312256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079312256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293442424000).

1079312256000 is an abundant number, since it is smaller than the sum of its proper divisors (3507572592000).

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

1079312256000 is a wasteful number, since it uses less digits than its factorization.

1079312256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1079312256000 in words is "one trillion, seventy-nine billion, three hundred twelve million, two hundred fifty-six thousand".