25755409680 has 640 divisors, whose sum is σ = 109528989696. Its totient is φ = 4832870400.

The previous prime is 25755409657. The next prime is 25755409699. The reversal of 25755409680 is 8690455752.

It is a super-2 number, since 2×25755409680² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11290140 + ... + 11292420.

Almost surely, 2^25755409680 is an apocalyptic number.

25755409680 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 25755409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54764494848).

25755409680 is an abundant number, since it is smaller than the sum of its proper divisors (83773580016).

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

25755409680 is a wasteful number, since it uses less digits than its factorization.

25755409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 25755409680 in words is "twenty-five billion, seven hundred fifty-five million, four hundred nine thousand, six hundred eighty".