5239761542400 has 1728 divisors, whose sum is σ = 23029442021376. Its totient is φ = 1024140902400.

The previous prime is 5239761542363. The next prime is 5239761542401. The reversal of 5239761542400 is 42451679325.

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 5239761542400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5239761542401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3041067939 + ... + 3041069661.

It is an arithmetic number, because the mean of its divisors is an integer number (13327223392).

Almost surely, 2^{5239761542400} is an apocalyptic number.

5239761542400 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 5239761542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514721010688).

5239761542400 is an abundant number, since it is smaller than the sum of its proper divisors (17789680478976).

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

5239761542400 is a wasteful number, since it uses less digits than its factorization.

5239761542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 5239761542400 in words is "five trillion, two hundred thirty-nine billion, seven hundred sixty-one million, five hundred forty-two thousand, four hundred".