1056034122880 has 128 divisors (see below), whose sum is σ = 2766119803200. Its totient is φ = 382334914560.

The previous prime is 1056034122851. The next prime is 1056034122889. The reversal of 1056034122880 is 882214306501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1056034122880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1056034122889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284639 + ... + 1939681.

Almost surely, 2^{1056034122880} is an apocalyptic number.

1056034122880 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 1056034122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383059901600).

1056034122880 is an abundant number, since it is smaller than the sum of its proper divisors (1710085680320).

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

1056034122880 is a wasteful number, since it uses less digits than its factorization.

1056034122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655302 (or 655290 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1056034122880 in words is "one trillion, fifty-six billion, thirty-four million, one hundred twenty-two thousand, eight hundred eighty".