5725996012800 has 3888 divisors, whose sum is σ = 26995424182272. Its totient is φ = 1174387507200.

The previous prime is 5725996012771. The next prime is 5725996012823. The reversal of 5725996012800 is 82106995275.

5725996012800 is a `hidden beast` number, since 5 + 7 + 2 + 5 + 9 + 9 + 601 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 121829702377 + ... + 121829702423.

Almost surely, 2^{5725996012800} is an apocalyptic number.

5725996012800 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 5725996012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497712091136).

5725996012800 is an abundant number, since it is smaller than the sum of its proper divisors (21269428169472).

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

5725996012800 is a wasteful number, since it uses less digits than its factorization.

5725996012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5725996012800 in words is "five trillion, seven hundred twenty-five billion, nine hundred ninety-six million, twelve thousand, eight hundred".