25514010240 has 128 divisors (see below), whose sum is σ = 81372107520. Its totient is φ = 6799872000.

The previous prime is 25514010199. The next prime is 25514010271. The reversal of 25514010240 is 4201041552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25514010240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5367865 + ... + 5372615.

It is an arithmetic number, because the mean of its divisors is an integer number (635719590).

Almost surely, 2^25514010240 is an apocalyptic number.

25514010240 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 25514010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40686053760).

25514010240 is an abundant number, since it is smaller than the sum of its proper divisors (55858097280).

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

25514010240 is a wasteful number, since it uses less digits than its factorization.

25514010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 25514010240 its reverse (4201041552), we get a palindrome (29715051792).

The spelling of 25514010240 in words is "twenty-five billion, five hundred fourteen million, ten thousand, two hundred forty".