1055340057600 has 924 divisors, whose sum is σ = 3955931463036. Its totient is φ = 279010344960.

The previous prime is 1055340057547. The next prime is 1055340057649. The reversal of 1055340057600 is 67500435501.

1055340057600 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 40 + 0 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 1055337071616 = 1728^2 + 1027296^2 .

It is a super-2 number, since 2×1055340057600² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3601843054 + ... + 3601843346.

Almost surely, 2^{1055340057600} is an apocalyptic number.

1055340057600 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 1055340057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977965731518).

1055340057600 is an abundant number, since it is smaller than the sum of its proper divisors (2900591405436).

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

1055340057600 is an equidigital number, since it uses as much as digits as its factorization.

1055340057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 1055340057600 in words is "one trillion, fifty-five billion, three hundred forty million, fifty-seven thousand, six hundred".