1056276345600 has 1296 divisors, whose sum is σ = 4450525148160. Its totient is φ = 234012672000.

The previous prime is 1056276345583. The next prime is 1056276345629. The reversal of 1056276345600 is 65436726501.

1056276345600 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 2 + 7 + 6 + 34 + 5 + 600 = 666.

It is a super-2 number, since 2×1056276345600² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2634105400 + ... + 2634105800.

Almost surely, 2^{1056276345600} is an apocalyptic number.

1056276345600 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 1056276345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225262574080).

1056276345600 is an abundant number, since it is smaller than the sum of its proper divisors (3394248802560).

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

1056276345600 is a wasteful number, since it uses less digits than its factorization.

1056276345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1056276345600 in words is "one trillion, fifty-six billion, two hundred seventy-six million, three hundred forty-five thousand, six hundred".