25156254240 has 576 divisors, whose sum is σ = 97362300672. Its totient is φ = 6096384000.

The previous prime is 25156254217. The next prime is 25156254287. The reversal of 25156254240 is 4245265152.

25156254240 is a `hidden beast` number, since 2 + 5 + 1 + 5 + 625 + 4 + 24 + 0 = 666.

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 = 25156254195 and 25156254204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35885890 + ... + 35886590.

It is an arithmetic number, because the mean of its divisors is an integer number (169031772).

Almost surely, 2^25156254240 is an apocalyptic number.

25156254240 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 25156254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48681150336).

25156254240 is an abundant number, since it is smaller than the sum of its proper divisors (72206046432).

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

25156254240 is a wasteful number, since it uses less digits than its factorization.

25156254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 25156254240 in words is "twenty-five billion, one hundred fifty-six million, two hundred fifty-four thousand, two hundred forty".