242552053800 has 1152 divisors, whose sum is σ = 1010468659200. Its totient is φ = 52907904000.

The previous prime is 242552053771. The next prime is 242552053813. The reversal of 242552053800 is 8350255242.

It is a happy number.

242552053800 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 520 + 53 + 80 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1149535695 + ... + 1149535905.

Almost surely, 2^242552053800 is an apocalyptic number.

242552053800 is a gapful number since it is divisible by the number (20) 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 242552053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505234329600).

242552053800 is an abundant number, since it is smaller than the sum of its proper divisors (767916605400).

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

242552053800 is a wasteful number, since it uses less digits than its factorization.

242552053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

It can be divided in two parts, 2425 and 52053800, that added together give a square (52056225 = 7215²).

The spelling of 242552053800 in words is "two hundred forty-two billion, five hundred fifty-two million, fifty-three thousand, eight hundred".