1055552097600 has 3024 divisors, whose sum is σ = 5222250468864. Its totient is φ = 196245504000.

The previous prime is 1055552097599. The next prime is 1055552097623. The reversal of 1055552097600 is 67902555501.

1055552097600 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 552 + 0 + 97 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×1055552097600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8057649535 + ... + 8057649665.

Almost surely, 2^{1055552097600} is an apocalyptic number.

1055552097600 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 1055552097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611125234432).

1055552097600 is an abundant number, since it is smaller than the sum of its proper divisors (4166698371264).

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

1055552097600 is a wasteful number, since it uses less digits than its factorization.

1055552097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 1055552097600 in words is "one trillion, fifty-five billion, five hundred fifty-two million, ninety-seven thousand, six hundred".