25429386240 has 396 divisors, whose sum is σ = 91617308796. Its totient is φ = 6772211712.

The previous prime is 25429386179. The next prime is 25429386259. The reversal of 25429386240 is 4268392452.

25429386240 is a `hidden beast` number, since 2 + 5 + 4 + 29 + 386 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12422439936 + 13006946304 = 111456^2 + 114048^2 .

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 35 ways as a sum of consecutive naturals, for example, 33591942 + ... + 33592698.

Almost surely, 2^25429386240 is an apocalyptic number.

25429386240 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 25429386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45808654398).

25429386240 is an abundant number, since it is smaller than the sum of its proper divisors (66187922556).

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

25429386240 is an frugal number, since it uses more digits than its factorization.

25429386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25429386240 in words is "twenty-five billion, four hundred twenty-nine million, three hundred eighty-six thousand, two hundred forty".