5972865326400 has 2688 divisors, whose sum is σ = 25814907740160. Its totient is φ = 1177194332160.

The previous prime is 5972865326381. The next prime is 5972865326429. The reversal of 5972865326400 is 46235682795.

It is a super-2 number, since 2×5972865326400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54796929546 + ... + 54796929654.

It is an arithmetic number, because the mean of its divisors is an integer number (9603760320).

Almost surely, 2^{5972865326400} is an apocalyptic number.

5972865326400 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 5972865326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907453870080).

5972865326400 is an abundant number, since it is smaller than the sum of its proper divisors (19842042413760).

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

5972865326400 is a wasteful number, since it uses less digits than its factorization.

5972865326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 5972865326400 in words is "five trillion, nine hundred seventy-two billion, eight hundred sixty-five million, three hundred twenty-six thousand, four hundred".