25284623040 has 280 divisors, whose sum is σ = 90661857792. Its totient is φ = 6688604160.

The previous prime is 25284623017. The next prime is 25284623069. The reversal of 25284623040 is 4032648252.

25284623040 is a `hidden beast` number, since 2 + 5 + 28 + 4 + 623 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25284622986 and 25284623004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3288000 + ... + 3295680.

Almost surely, 2^25284623040 is an apocalyptic number.

25284623040 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 25284623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45330928896).

25284623040 is an abundant number, since it is smaller than the sum of its proper divisors (65377234752).

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

25284623040 is a wasteful number, since it uses less digits than its factorization.

25284623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25284623040 in words is "twenty-five billion, two hundred eighty-four million, six hundred twenty-three thousand, forty".