5202045314400 has 288 divisors, whose sum is σ = 18865015561728. Its totient is φ = 1234269644800.

The previous prime is 5202045314399. The next prime is 5202045314441. The reversal of 5202045314400 is 44135402025.

It is a super-2 number, since 2×5202045314400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 855447 + ... + 3337046.

It is an arithmetic number, because the mean of its divisors is an integer number (65503526256).

Almost surely, 2^{5202045314400} is an apocalyptic number.

5202045314400 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 5202045314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432507780864).

5202045314400 is an abundant number, since it is smaller than the sum of its proper divisors (13662970247328).

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

5202045314400 is a wasteful number, since it uses less digits than its factorization.

5202045314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192574 (or 4192561 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 5202045314400 in words is "five trillion, two hundred two billion, forty-five million, three hundred fourteen thousand, four hundred".