25911016128 has 280 divisors, whose sum is σ = 78530533312. Its totient is φ = 8480381184.

The previous prime is 25911016081. The next prime is 25911016133. The reversal of 25911016128 is 82161011952.

25911016128 is a `hidden beast` number, since 2 + 591 + 1 + 0 + 1 + 61 + 2 + 8 = 666.

It is a super-2 number, since 2×25911016128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25911016092 and 25911016101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84400551 + ... + 84400857.

Almost surely, 2^25911016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25911016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39265266656).

25911016128 is an abundant number, since it is smaller than the sum of its proper divisors (52619517184).

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

25911016128 is an frugal number, since it uses more digits than its factorization.

25911016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 25911016128 in words is "twenty-five billion, nine hundred eleven million, sixteen thousand, one hundred twenty-eight".