25919116740 has 288 divisors, whose sum is σ = 89062751232. Its totient is φ = 6044544000.

The previous prime is 25919116723. The next prime is 25919116747. The reversal of 25919116740 is 4761191952.

25919116740 is a `hidden beast` number, since 2 + 591 + 9 + 1 + 16 + 7 + 40 = 666.

It is a super-2 number, since 2×25919116740² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25919116747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11108614 + ... + 11110946.

It is an arithmetic number, because the mean of its divisors is an integer number (309245664).

Almost surely, 2^25919116740 is an apocalyptic number.

25919116740 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 25919116740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44531375616).

25919116740 is an abundant number, since it is smaller than the sum of its proper divisors (63143634492).

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

25919116740 is a wasteful number, since it uses less digits than its factorization.

25919116740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 25919116740 in words is "twenty-five billion, nine hundred nineteen million, one hundred sixteen thousand, seven hundred forty".