25117655040 has 544 divisors, whose sum is σ = 95126088960. Its totient is φ = 6266290176.

The previous prime is 25117655021. The next prime is 25117655041. The reversal of 25117655040 is 4055671152.

25117655040 is a `hidden beast` number, since 2 + 51 + 17 + 6 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

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 = 25117654986 and 25117655004.

It is not an unprimeable number, because it can be changed into a prime (25117655041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150405037 + ... + 150405203.

Almost surely, 2^25117655040 is an apocalyptic number.

25117655040 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 25117655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47563044480).

25117655040 is an abundant number, since it is smaller than the sum of its proper divisors (70008433920).

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

25117655040 is an equidigital number, since it uses as much as digits as its factorization.

25117655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 25117655040 in words is "twenty-five billion, one hundred seventeen million, six hundred fifty-five thousand, forty".