1055253534400 has 168 divisors, whose sum is σ = 2800704760784. Its totient is φ = 389021184000.

The previous prime is 1055253534353. The next prime is 1055253534431. The reversal of 1055253534400 is 44353525501.

It is a super-2 number, since 2×1055253534400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055253534400.

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 23 ways as a sum of consecutive naturals, for example, 13334950 + ... + 13413850.

Almost surely, 2^{1055253534400} is an apocalyptic number.

1055253534400 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 1055253534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400352380392).

1055253534400 is an abundant number, since it is smaller than the sum of its proper divisors (1745451226384).

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

1055253534400 is a wasteful number, since it uses less digits than its factorization.

1055253534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79579 (or 79564 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

The spelling of 1055253534400 in words is "one trillion, fifty-five billion, two hundred fifty-three million, five hundred thirty-four thousand, four hundred".