1056445647120 has 640 divisors, whose sum is σ = 4082138726400. Its totient is φ = 249845409792.

The previous prime is 1056445647107. The next prime is 1056445647121. The reversal of 1056445647120 is 217465446501.

1056445647120 is a `hidden beast` number, since 1 + 0 + 5 + 64 + 4 + 564 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×1056445647120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1056445647121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44352334 + ... + 44376146.

It is an arithmetic number, because the mean of its divisors is an integer number (6378341760).

Almost surely, 2^{1056445647120} is an apocalyptic number.

1056445647120 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 1056445647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041069363200).

1056445647120 is an abundant number, since it is smaller than the sum of its proper divisors (3025693079280).

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

1056445647120 is a wasteful number, since it uses less digits than its factorization.

1056445647120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23924 (or 23912 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1056445647120 in words is "one trillion, fifty-six billion, four hundred forty-five million, six hundred forty-seven thousand, one hundred twenty".