25793376728400 has 960 divisors, whose sum is σ = 98015726592000. Its totient is φ = 6423535872000.

The previous prime is 25793376728341. The next prime is 25793376728401. The reversal of 25793376728400 is 482767339752.

25793376728400 is a `hidden beast` number, since 2 + 5 + 7 + 93 + 3 + 76 + 72 + 8 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25793376728401) 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, 19825807750 + ... + 19825809050.

It is an arithmetic number, because the mean of its divisors is an integer number (102099715200).

Almost surely, 2^{25793376728400} is an apocalyptic number.

25793376728400 is a gapful number since it is divisible by the number (20) 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 25793376728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49007863296000).

25793376728400 is an abundant number, since it is smaller than the sum of its proper divisors (72222349863600).

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

25793376728400 is a wasteful number, since it uses less digits than its factorization.

25793376728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 25793376728400 in words is "twenty-five trillion, seven hundred ninety-three billion, three hundred seventy-six million, seven hundred twenty-eight thousand, four hundred".