25395457440 has 96 divisors (see below), whose sum is σ = 80149438656. Its totient is φ = 6759106560.

The previous prime is 25395457421. The next prime is 25395457453. The reversal of 25395457440 is 4475459352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25395457440.

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, 200460 + ... + 301620.

It is an arithmetic number, because the mean of its divisors is an integer number (834889986).

Almost surely, 2^25395457440 is an apocalyptic number.

25395457440 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 25395457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40074719328).

25395457440 is an abundant number, since it is smaller than the sum of its proper divisors (54753981216).

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

25395457440 is a wasteful number, since it uses less digits than its factorization.

25395457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101702 (or 101694 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 25395457440 in words is "twenty-five billion, three hundred ninety-five million, four hundred fifty-seven thousand, four hundred forty".