1079471105856 has 1120 divisors, whose sum is σ = 3925769379840. Its totient is φ = 288819302400.

The previous prime is 1079471105809. The next prime is 1079471105863. The reversal of 1079471105856 is 6585011749701.

1079471105856 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 47 + 1 + 10 + 585 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2458931685 + ... + 2458932123.

It is an arithmetic number, because the mean of its divisors is an integer number (3505151232).

Almost surely, 2^{1079471105856} is an apocalyptic number.

1079471105856 is a gapful number since it is divisible by the number (16) 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 1079471105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962884689920).

1079471105856 is an abundant number, since it is smaller than the sum of its proper divisors (2846298273984).

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

1079471105856 is a wasteful number, since it uses less digits than its factorization.

1079471105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 1079471105856 in words is "one trillion, seventy-nine billion, four hundred seventy-one million, one hundred five thousand, eight hundred fifty-six".