25681749380 has 288 divisors, whose sum is σ = 70013486592. Its totient is φ = 7722086400.

The previous prime is 25681749367. The next prime is 25681749433. The reversal of 25681749380 is 8394718652.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61001570 + ... + 61001990.

It is an arithmetic number, because the mean of its divisors is an integer number (243102384).

It is a 1-persistent number, because it is pandigital, but 2⋅25681749380 = 51363498760 is not.

Almost surely, 2^25681749380 is an apocalyptic number.

25681749380 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 25681749380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006743296).

25681749380 is an abundant number, since it is smaller than the sum of its proper divisors (44331737212).

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

25681749380 is a wasteful number, since it uses less digits than its factorization.

25681749380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 25681749380 in words is "twenty-five billion, six hundred eighty-one million, seven hundred forty-nine thousand, three hundred eighty".