1056427901100 has 864 divisors, whose sum is σ = 4040281405440. Its totient is φ = 235224000000.

The previous prime is 1056427901047. The next prime is 1056427901147. The reversal of 1056427901100 is 11097246501.

1056427901100 is a `hidden beast` number, since 1 + 0 + 5 + 642 + 7 + 9 + 0 + 1 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1056427901100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1066021605 + ... + 1066022595.

Almost surely, 2^{1056427901100} is an apocalyptic number.

1056427901100 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 1056427901100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020140702720).

1056427901100 is an abundant number, since it is smaller than the sum of its proper divisors (2983853504340).

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

1056427901100 is a wasteful number, since it uses less digits than its factorization.

1056427901100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1056427901100 in words is "one trillion, fifty-six billion, four hundred twenty-seven million, nine hundred one thousand, one hundred".