1125020566800 has 1200 divisors, whose sum is σ = 4683761470080. Its totient is φ = 256124436480.

The previous prime is 1125020566757. The next prime is 1125020566819. The reversal of 1125020566800 is 86650205211.

1125020566800 is a `hidden beast` number, since 1 + 12 + 5 + 0 + 2 + 0 + 566 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 422462269 + ... + 422464931.

Almost surely, 2^{1125020566800} is an apocalyptic number.

1125020566800 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 1125020566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341880735040).

1125020566800 is an abundant number, since it is smaller than the sum of its proper divisors (3558740903280).

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

1125020566800 is a wasteful number, since it uses less digits than its factorization.

1125020566800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1125020566800 in words is "one trillion, one hundred twenty-five billion, twenty million, five hundred sixty-six thousand, eight hundred".