1055032516800 has 1008 divisors, whose sum is σ = 4116917750400. Its totient is φ = 265006080000.

The previous prime is 1055032516799. The next prime is 1055032516807. The reversal of 1055032516800 is 86152305501.

It is a happy number.

1055032516800 is a `hidden beast` number, since 1 + 0 + 550 + 3 + 25 + 1 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×1055032516800² (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 not an unprimeable number, because it can be changed into a prime (1055032516807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1854186916 + ... + 1854187484.

It is an arithmetic number, because the mean of its divisors is an integer number (4084243800).

Almost surely, 2^{1055032516800} is an apocalyptic number.

1055032516800 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 1055032516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058458875200).

1055032516800 is an abundant number, since it is smaller than the sum of its proper divisors (3061885233600).

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

1055032516800 is a wasteful number, since it uses less digits than its factorization.

1055032516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1055032516800 in words is "one trillion, fifty-five billion, thirty-two million, five hundred sixteen thousand, eight hundred".