25761939840 has 1280 divisors, whose sum is σ = 116777041920. Its totient is φ = 5267275776.

The previous prime is 25761939769. The next prime is 25761939869. The reversal of 25761939840 is 4893916752.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 202849857 + ... + 202849983.

It is an arithmetic number, because the mean of its divisors is an integer number (91232064).

It is a 1-persistent number, because it is pandigital, but 2⋅25761939840 = 51523879680 is not.

Almost surely, 2^25761939840 is an apocalyptic number.

25761939840 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 25761939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58388520960).

25761939840 is an abundant number, since it is smaller than the sum of its proper divisors (91015102080).

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

25761939840 is a wasteful number, since it uses less digits than its factorization.

25761939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 25761939840 in words is "twenty-five billion, seven hundred sixty-one million, nine hundred thirty-nine thousand, eight hundred forty".