25968962880 has 1120 divisors, whose sum is σ = 115186114560. Its totient is φ = 5441955840.

The previous prime is 25968962879. The next prime is 25968962881. The reversal of 25968962880 is 8826986952.

It is an interprime number because it is at equal distance from previous prime (25968962879) and next prime (25968962881).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25968962881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 837708465 + ... + 837708495.

Almost surely, 2^25968962880 is an apocalyptic number.

25968962880 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 25968962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57593057280).

25968962880 is an abundant number, since it is smaller than the sum of its proper divisors (89217151680).

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

25968962880 is an frugal number, since it uses more digits than its factorization.

25968962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 25968962880 in words is "twenty-five billion, nine hundred sixty-eight million, nine hundred sixty-two thousand, eight hundred eighty".