25881762816 has 704 divisors, whose sum is σ = 96254197760. Its totient is φ = 6772211712.

The previous prime is 25881762793. The next prime is 25881762821. The reversal of 25881762816 is 61826718852.

25881762816 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 1 + 7 + 628 + 1 + 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 63 ways as a sum of consecutive naturals, for example, 203793345 + ... + 203793471.

Almost surely, 2^25881762816 is an apocalyptic number.

25881762816 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 25881762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48127098880).

25881762816 is an abundant number, since it is smaller than the sum of its proper divisors (70372434944).

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

25881762816 is an equidigital number, since it uses as much as digits as its factorization.

25881762816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 25881762816 in words is "twenty-five billion, eight hundred eighty-one million, seven hundred sixty-two thousand, eight hundred sixteen".