25209870840 has 1152 divisors, whose sum is σ = 111786393600. Its totient is φ = 5029516800.

The previous prime is 25209870823. The next prime is 25209870899. The reversal of 25209870840 is 4807890252.

25209870840 is a `hidden beast` number, since 2 + 520 + 9 + 87 + 0 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198502857 + ... + 198502983.

It is an arithmetic number, because the mean of its divisors is an integer number (97036800).

Almost surely, 2^25209870840 is an apocalyptic number.

25209870840 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 25209870840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55893196800).

25209870840 is an abundant number, since it is smaller than the sum of its proper divisors (86576522760).

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

25209870840 is a wasteful number, since it uses less digits than its factorization.

25209870840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 25209870840 in words is "twenty-five billion, two hundred nine million, eight hundred seventy thousand, eight hundred forty".