52440089318400 has 528 divisors, whose sum is σ = 198274424160384. Its totient is φ = 11974349291520.

The previous prime is 52440089318333. The next prime is 52440089318417. The reversal of 52440089318400 is 481398004425.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52440089318400.

It is a congruent number.

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, 544540654 + ... + 544636946.

It is an arithmetic number, because the mean of its divisors is an integer number (375519742728).

Almost surely, 2^{52440089318400} is an apocalyptic number.

52440089318400 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 52440089318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99137212080192).

52440089318400 is an abundant number, since it is smaller than the sum of its proper divisors (145834334841984).

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

52440089318400 is a wasteful number, since it uses less digits than its factorization.

52440089318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97346 (or 97323 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 52440089318400 in words is "fifty-two trillion, four hundred forty billion, eighty-nine million, three hundred eighteen thousand, four hundred".