1056405577184 has 192 divisors, whose sum is σ = 2296936857600. Its totient is φ = 476367091200.

The previous prime is 1056405577169. The next prime is 1056405577273. The reversal of 1056405577184 is 4817755046501.

It is a super-2 number, since 2×1056405577184² (a number of 25 digits) contains 22 as substring.

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, 457119389 + ... + 457121699.

It is an arithmetic number, because the mean of its divisors is an integer number (11963212800).

Almost surely, 2^{1056405577184} 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 1056405577184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148468428800).

1056405577184 is an abundant number, since it is smaller than the sum of its proper divisors (1240531280416).

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

1056405577184 is a wasteful number, since it uses less digits than its factorization.

1056405577184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 53.

The spelling of 1056405577184 in words is "one trillion, fifty-six billion, four hundred five million, five hundred seventy-seven thousand, one hundred eighty-four".