55770724783200 has 3456 divisors, whose sum is σ = 239791632353280. Its totient is φ = 11167491686400.

The previous prime is 55770724783133. The next prime is 55770724783211. The reversal of 55770724783200 is 238742707755.

It is a super-2 number, since 2×55770724783200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 264316231095 + ... + 264316231305.

It is an arithmetic number, because the mean of its divisors is an integer number (69384152880).

Almost surely, 2^{55770724783200} is an apocalyptic number.

55770724783200 is a gapful number since it is divisible by the number (50) 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 55770724783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119895816176640).

55770724783200 is an abundant number, since it is smaller than the sum of its proper divisors (184020907570080).

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

55770724783200 is a wasteful number, since it uses less digits than its factorization.

55770724783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 57.

The spelling of 55770724783200 in words is "fifty-five trillion, seven hundred seventy billion, seven hundred twenty-four million, seven hundred eighty-three thousand, two hundred".