1072079855424 has 224 divisors, whose sum is σ = 3203824732800. Its totient is φ = 351468564480.

The previous prime is 1072079855387. The next prime is 1072079855447. The reversal of 1072079855424 is 4245589702701.

1072079855424 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 7 + 98 + 5 + 542 + 4 = 666.

It is a super-2 number, since 2×1072079855424² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 76520932 + ... + 76534940.

Almost surely, 2^{1072079855424} 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 1072079855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601912366400).

1072079855424 is an abundant number, since it is smaller than the sum of its proper divisors (2131744877376).

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

1072079855424 is a wasteful number, since it uses less digits than its factorization.

1072079855424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1072079855424 in words is "one trillion, seventy-two billion, seventy-nine million, eight hundred fifty-five thousand, four hundred twenty-four".