1056155506560 has 384 divisors, whose sum is σ = 4546957109760. Its totient is φ = 219460792320.

The previous prime is 1056155506547. The next prime is 1056155506561. The reversal of 1056155506560 is 656055516501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1056155506560² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056155506561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747132 + ... + 1634171.

It is an arithmetic number, because the mean of its divisors is an integer number (11841034140).

Almost surely, 2^{1056155506560} is an apocalyptic number.

1056155506560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056155506560 is an abundant number, since it is smaller than the sum of its proper divisors (3490801603200).

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

1056155506560 is a wasteful number, since it uses less digits than its factorization.

1056155506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381346 (or 2381331 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 1056155506560 in words is "one trillion, fifty-six billion, one hundred fifty-five million, five hundred six thousand, five hundred sixty".