52244202700800 has 3600 divisors, whose sum is σ = 223961860960992. Its totient is φ = 11924825702400.

The previous prime is 52244202700787. The next prime is 52244202700901. The reversal of 52244202700800 is 800720244225.

52244202700800 is a `hidden beast` number, since 5 + 224 + 420 + 2 + 7 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

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, 715674009564 + ... + 715674009636.

Almost surely, 2^{52244202700800} is an apocalyptic number.

52244202700800 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 52244202700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111980930480496).

52244202700800 is an abundant number, since it is smaller than the sum of its proper divisors (171717658260192).

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

52244202700800 is a wasteful number, since it uses less digits than its factorization.

52244202700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 52244202700800 in words is "fifty-two trillion, two hundred forty-four billion, two hundred two million, seven hundred thousand, eight hundred".