25142398760960 has 192 divisors, whose sum is σ = 64980741702240. Its totient is φ = 9281464565760.

The previous prime is 25142398760957. The next prime is 25142398761001. The reversal of 25142398760960 is 6906789324152.

It is a junction number, because it is equal to n+sod(n) for n = 25142398760893 and 25142398760902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773810315 + ... + 773842805.

It is a 1-persistent number, because it is pandigital, but 2⋅25142398760960 = 50284797521920 is not.

Almost surely, 2^{25142398760960} is an apocalyptic number.

25142398760960 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 25142398760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32490370851120).

25142398760960 is an abundant number, since it is smaller than the sum of its proper divisors (39838342941280).

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

25142398760960 is a wasteful number, since it uses less digits than its factorization.

25142398760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38344 (or 38324 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 25142398760960 in words is "twenty-five trillion, one hundred forty-two billion, three hundred ninety-eight million, seven hundred sixty thousand, nine hundred sixty".