25950637440 has 640 divisors, whose sum is σ = 114081549120. Its totient is φ = 5474304000.

The previous prime is 25950637429. The next prime is 25950637477. The reversal of 25950637440 is 4473605952.

25950637440 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 0 + 637 + 4 + 4 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4714690 + ... + 4720190.

Almost surely, 2^25950637440 is an apocalyptic number.

25950637440 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 25950637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57040774560).

25950637440 is an abundant number, since it is smaller than the sum of its proper divisors (88130911680).

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

25950637440 is a wasteful number, since it uses less digits than its factorization.

25950637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25950637440 in words is "twenty-five billion, nine hundred fifty million, six hundred thirty-seven thousand, four hundred forty".