25275825738240 has 640 divisors, whose sum is σ = 106668275079168. Its totient is φ = 4943169454080.

The previous prime is 25275825738217. The next prime is 25275825738263. The reversal of 25275825738240 is 4283752857252.

It is an interprime number because it is at equal distance from previous prime (25275825738217) and next prime (25275825738263).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8796007 + ... + 11310233.

Almost surely, 2^{25275825738240} is an apocalyptic number.

25275825738240 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 25275825738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53334137539584).

25275825738240 is an abundant number, since it is smaller than the sum of its proper divisors (81392449340928).

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

25275825738240 is a wasteful number, since it uses less digits than its factorization.

25275825738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514288 (or 2514272 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 60.

The spelling of 25275825738240 in words is "twenty-five trillion, two hundred seventy-five billion, eight hundred twenty-five million, seven hundred thirty-eight thousand, two hundred forty".