25727919840 has 480 divisors, whose sum is σ = 106315602624. Its totient is φ = 5736407040.

The previous prime is 25727919827. The next prime is 25727919859. The reversal of 25727919840 is 4891972752.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 3716062 + ... + 3722978.

Almost surely, 2^25727919840 is an apocalyptic number.

25727919840 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 25727919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53157801312).

25727919840 is an abundant number, since it is smaller than the sum of its proper divisors (80587682784).

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

25727919840 is a wasteful number, since it uses less digits than its factorization.

25727919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 25727919840 in words is "twenty-five billion, seven hundred twenty-seven million, nine hundred nineteen thousand, eight hundred forty".