1055675980800 has 924 divisors, whose sum is σ = 4484443240656. Its totient is φ = 241267507200.

The previous prime is 1055675980739. The next prime is 1055675980823. The reversal of 1055675980800 is 80895765501.

1055675980800 is a `hidden beast` number, since 1 + 0 + 556 + 7 + 5 + 9 + 8 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×1055675980800² (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 83 ways as a sum of consecutive naturals, for example, 130632760 + ... + 130640840.

Almost surely, 2^{1055675980800} is an apocalyptic number.

1055675980800 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 1055675980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242221620328).

1055675980800 is an abundant number, since it is smaller than the sum of its proper divisors (3428767259856).

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

1055675980800 is an frugal number, since it uses more digits than its factorization.

1055675980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 1055675980800 in words is "one trillion, fifty-five billion, six hundred seventy-five million, nine hundred eighty thousand, eight hundred".