1055506636800 has 2688 divisors, whose sum is σ = 5039400314880. Its totient is φ = 210213273600.

The previous prime is 1055506636787. The next prime is 1055506636817. The reversal of 1055506636800 is 86366055501.

1055506636800 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 0 + 6 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×1055506636800² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15753830367 + ... + 15753830433.

Almost surely, 2^{1055506636800} is an apocalyptic number.

1055506636800 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 1055506636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519700157440).

1055506636800 is an abundant number, since it is smaller than the sum of its proper divisors (3983893678080).

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

1055506636800 is a wasteful number, since it uses less digits than its factorization.

1055506636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1055506636800 in words is "one trillion, fifty-five billion, five hundred six million, six hundred thirty-six thousand, eight hundred".