25247262240 has 144 divisors (see below), whose sum is σ = 86198007168. Its totient is φ = 6729343488.

The previous prime is 25247262239. The next prime is 25247262247. The reversal of 25247262240 is 4226274252.

25247262240 is a `hidden beast` number, since 2 + 5 + 24 + 7 + 2 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 25247262195 and 25247262204.

It is not an unprimeable number, because it can be changed into a prime (25247262247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5105209 + ... + 5110151.

It is an arithmetic number, because the mean of its divisors is an integer number (598597272).

Almost surely, 2^25247262240 is an apocalyptic number.

25247262240 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 25247262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43099003584).

25247262240 is an abundant number, since it is smaller than the sum of its proper divisors (60950744928).

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

25247262240 is a wasteful number, since it uses less digits than its factorization.

25247262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 25247262240 in words is "twenty-five billion, two hundred forty-seven million, two hundred sixty-two thousand, two hundred forty".