25420533840 has 360 divisors, whose sum is σ = 97888522680. Its totient is φ = 5888802816.

The previous prime is 25420533839. The next prime is 25420533841. The reversal of 25420533840 is 4833502452.

25420533840 is a `hidden beast` number, since 2 + 5 + 42 + 0 + 533 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25420533839) and next prime (25420533841).

It can be written as a sum of positive squares in 12 ways, for example, as 6748951104 + 18671582736 = 82152^2 + 136644^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 25420533795 and 25420533804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25420533841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2062416 + ... + 2074704.

It is an arithmetic number, because the mean of its divisors is an integer number (271912563).

Almost surely, 2^25420533840 is an apocalyptic number.

25420533840 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 25420533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944261340).

25420533840 is an abundant number, since it is smaller than the sum of its proper divisors (72467988840).

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

25420533840 is a wasteful number, since it uses less digits than its factorization.

25420533840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12351 (or 12329 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 25420533840 in words is "twenty-five billion, four hundred twenty million, five hundred thirty-three thousand, eight hundred forty".