25501609728000 has 2112 divisors, whose sum is σ = 109543146672960. Its totient is φ = 5804752896000.

The previous prime is 25501609727947. The next prime is 25501609728017. The reversal of 25501609728000 is 82790610552.

25501609728000 is a `hidden beast` number, since 2 + 5 + 501 + 60 + 9 + 7 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 105815807880 + ... + 105815808120.

It is an arithmetic number, because the mean of its divisors is an integer number (51867020205).

Almost surely, 2^{25501609728000} is an apocalyptic number.

25501609728000 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 25501609728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54771573336480).

25501609728000 is an abundant number, since it is smaller than the sum of its proper divisors (84041536944960).

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

25501609728000 is an frugal number, since it uses more digits than its factorization.

25501609728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25501609728000 in words is "twenty-five trillion, five hundred one billion, six hundred nine million, seven hundred twenty-eight thousand".