5307389270400 has 768 divisors, whose sum is σ = 20163854430720. Its totient is φ = 1201913856000.

The previous prime is 5307389270387. The next prime is 5307389270401. The reversal of 5307389270400 is 40729837035.

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 5307389270400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307389270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6024277960 + ... + 6024278840.

It is an arithmetic number, because the mean of its divisors is an integer number (26255018790).

Almost surely, 2^{5307389270400} is an apocalyptic number.

5307389270400 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 5307389270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081927215360).

5307389270400 is an abundant number, since it is smaller than the sum of its proper divisors (14856465160320).

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

5307389270400 is a wasteful number, since it uses less digits than its factorization.

5307389270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 5307389270400 in words is "five trillion, three hundred seven billion, three hundred eighty-nine million, two hundred seventy thousand, four hundred".