25761267840 has 1152 divisors, whose sum is σ = 109865064960. Its totient is φ = 5109350400.

The previous prime is 25761267839. The next prime is 25761267869. The reversal of 25761267840 is 4876216752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25761267840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 352894044 + ... + 352894116.

It is an arithmetic number, because the mean of its divisors is an integer number (95368980).

Almost surely, 2^25761267840 is an apocalyptic number.

25761267840 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 25761267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54932532480).

25761267840 is an abundant number, since it is smaller than the sum of its proper divisors (84103797120).

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

25761267840 is a wasteful number, since it uses less digits than its factorization.

25761267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 25761267840 in words is "twenty-five billion, seven hundred sixty-one million, two hundred sixty-seven thousand, eight hundred forty".