25938251205120 has 400 divisors, whose sum is σ = 93369615926400. Its totient is φ = 6882097913856.

The previous prime is 25938251205091. The next prime is 25938251205149. The reversal of 25938251205120 is 2150215283952.

25938251205120 is a `hidden beast` number, since 2 + 5 + 9 + 3 + 8 + 2 + 5 + 120 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25938251205091) and next prime (25938251205149).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40950349 + ... + 41578931.

It is an arithmetic number, because the mean of its divisors is an integer number (233424039816).

Almost surely, 2^{25938251205120} is an apocalyptic number.

25938251205120 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 25938251205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46684807963200).

25938251205120 is an abundant number, since it is smaller than the sum of its proper divisors (67431364721280).

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

25938251205120 is an equidigital number, since it uses as much as digits as its factorization.

25938251205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628817 (or 628792 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 25938251205120 in words is "twenty-five trillion, nine hundred thirty-eight billion, two hundred fifty-one million, two hundred five thousand, one hundred twenty".