1056919449600 has 1248 divisors, whose sum is σ = 4491110883840. Its totient is φ = 238666383360.

The previous prime is 1056919449589. The next prime is 1056919449613. The reversal of 1056919449600 is 69449196501.

1056919449600 is a `hidden beast` number, since 1 + 0 + 5 + 69 + 1 + 94 + 496 + 0 + 0 = 666.

It is a super-2 number, since 2×1056919449600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1877298919 + ... + 1877299481.

Almost surely, 2^{1056919449600} is an apocalyptic number.

1056919449600 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 1056919449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245555441920).

1056919449600 is an abundant number, since it is smaller than the sum of its proper divisors (3434191434240).

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

1056919449600 is an equidigital number, since it uses as much as digits as its factorization.

1056919449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1056919449600 in words is "one trillion, fifty-six billion, nine hundred nineteen million, four hundred forty-nine thousand, six hundred".