25977669120 has 480 divisors, whose sum is σ = 99190963872. Its totient is φ = 6242697216.

The previous prime is 25977669083. The next prime is 25977669121. The reversal of 25977669120 is 2196677952.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25977669121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12878352 + ... + 12880368.

Almost surely, 2^25977669120 is an apocalyptic number.

25977669120 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 25977669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49595481936).

25977669120 is an abundant number, since it is smaller than the sum of its proper divisors (73213294752).

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

25977669120 is a wasteful number, since it uses less digits than its factorization.

25977669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 25977669120 in words is "twenty-five billion, nine hundred seventy-seven million, six hundred sixty-nine thousand, one hundred twenty".