25764354720 has 768 divisors, whose sum is σ = 101931540480. Its totient is φ = 6036000768.

The previous prime is 25764354719. The next prime is 25764354829. The reversal of 25764354720 is 2745346752.

25764354720 is a `hidden beast` number, since 2 + 576 + 4 + 3 + 5 + 4 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113499247 + ... + 113499473.

It is an arithmetic number, because the mean of its divisors is an integer number (132723360).

Almost surely, 2^25764354720 is an apocalyptic number.

25764354720 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 25764354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965770240).

25764354720 is an abundant number, since it is smaller than the sum of its proper divisors (76167185760).

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

25764354720 is a wasteful number, since it uses less digits than its factorization.

25764354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 25764354720 in words is "twenty-five billion, seven hundred sixty-four million, three hundred fifty-four thousand, seven hundred twenty".