25781283360 has 432 divisors, whose sum is σ = 108367675416. Its totient is φ = 5545967616.

The previous prime is 25781283323. The next prime is 25781283373. The reversal of 25781283360 is 6338218752.

25781283360 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 1 + 283 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18540634896 + 7240648464 = 136164^2 + 85092^2 .

It is a super-2 number, since 2×25781283360² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1188774 + ... + 1210266.

Almost surely, 2^25781283360 is an apocalyptic number.

25781283360 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 25781283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54183837708).

25781283360 is an abundant number, since it is smaller than the sum of its proper divisors (82586392056).

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

25781283360 is a wasteful number, since it uses less digits than its factorization.

25781283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21545 (or 21527 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25781283360 in words is "twenty-five billion, seven hundred eighty-one million, two hundred eighty-three thousand, three hundred sixty".