25705915050816 has 3360 divisors, whose sum is σ = 110858126125824. Its totient is φ = 5685313536000.

The previous prime is 25705915050797. The next prime is 25705915050857. The reversal of 25705915050816 is 61805051950752.

25705915050816 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 59 + 1 + 505 + 0 + 81 + 6 = 666.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 91480124596 + ... + 91480124876.

Almost surely, 2^{25705915050816} is an apocalyptic number.

25705915050816 is a gapful number since it is divisible by the number (26) 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 25705915050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55429063062912).

25705915050816 is an abundant number, since it is smaller than the sum of its proper divisors (85152211075008).

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

25705915050816 is a wasteful number, since it uses less digits than its factorization.

25705915050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 25705915050816 in words is "twenty-five trillion, seven hundred five billion, nine hundred fifteen million, fifty thousand, eight hundred sixteen".