25849290240 has 520 divisors, whose sum is σ = 97859484360. Its totient is φ = 6530347008.

The previous prime is 25849290227. The next prime is 25849290241. The reversal of 25849290240 is 4209294852.

25849290240 is a `hidden beast` number, since 2 + 58 + 492 + 90 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25849290241) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 1360488951 + ... + 1360488969.

Almost surely, 2^25849290240 is an apocalyptic number.

25849290240 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 25849290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48929742180).

25849290240 is an abundant number, since it is smaller than the sum of its proper divisors (72010194120).

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

25849290240 is an frugal number, since it uses more digits than its factorization.

25849290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 25849290240 in words is "twenty-five billion, eight hundred forty-nine million, two hundred ninety thousand, two hundred forty".