5725985126400 has 3456 divisors, whose sum is σ = 27325551052800. Its totient is φ = 1153784217600.

The previous prime is 5725985126383. The next prime is 5725985126423. The reversal of 5725985126400 is 46215895275.

5725985126400 is a `hidden beast` number, since 5 + 7 + 2 + 598 + 5 + 1 + 2 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41194137531 + ... + 41194137669.

It is an arithmetic number, because the mean of its divisors is an integer number (7906698800).

Almost surely, 2^{5725985126400} is an apocalyptic number.

5725985126400 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 5725985126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662775526400).

5725985126400 is an abundant number, since it is smaller than the sum of its proper divisors (21599565926400).

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

5725985126400 is a wasteful number, since it uses less digits than its factorization.

5725985126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5725985126400 in words is "five trillion, seven hundred twenty-five billion, nine hundred eighty-five million, one hundred twenty-six thousand, four hundred".