5725027123200 has 2880 divisors, whose sum is σ = 26867220387840. Its totient is φ = 1175283302400.

The previous prime is 5725027123187. The next prime is 5725027123201. The reversal of 5725027123200 is 23217205275.

5725027123200 is a `hidden beast` number, since 5 + 7 + 2 + 502 + 7 + 123 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5725027123200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725027123201) 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, 68976230359 + ... + 68976230441.

It is an arithmetic number, because the mean of its divisors is an integer number (9328895968).

Almost surely, 2^{5725027123200} is an apocalyptic number.

5725027123200 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 5725027123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433610193920).

5725027123200 is an abundant number, since it is smaller than the sum of its proper divisors (21142193264640).

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

5725027123200 is an frugal number, since it uses more digits than its factorization.

5725027123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 5725027123200 in words is "five trillion, seven hundred twenty-five billion, twenty-seven million, one hundred twenty-three thousand, two hundred".