52398442140800 has 384 divisors, whose sum is σ = 156805401312000. Its totient is φ = 16889893355520.

The previous prime is 52398442140701. The next prime is 52398442140829. The reversal of 52398442140800 is 804124489325.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349880336 + ... + 350030064.

It is an arithmetic number, because the mean of its divisors is an integer number (408347399250).

Almost surely, 2^{52398442140800} is an apocalyptic number.

52398442140800 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 52398442140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78402700656000).

52398442140800 is an abundant number, since it is smaller than the sum of its proper divisors (104406959171200).

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

52398442140800 is a wasteful number, since it uses less digits than its factorization.

52398442140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150696 (or 150679 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 52398442140800 in words is "fifty-two trillion, three hundred ninety-eight billion, four hundred forty-two million, one hundred forty thousand, eight hundred".