25463158020 has 288 divisors, whose sum is σ = 81273235680. Its totient is φ = 6446407680.

The previous prime is 25463157997. The next prime is 25463158033. The reversal of 25463158020 is 2085136452.

25463158020 is a `hidden beast` number, since 2 + 5 + 46 + 31 + 580 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17089809984 + 8373348036 = 130728^2 + 91506^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 94658446 + ... + 94658714.

It is an arithmetic number, because the mean of its divisors is an integer number (282198735).

Almost surely, 2^25463158020 is an apocalyptic number.

25463158020 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 25463158020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40636617840).

25463158020 is an abundant number, since it is smaller than the sum of its proper divisors (55810077660).

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

25463158020 is a wasteful number, since it uses less digits than its factorization.

25463158020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25463158020 in words is "twenty-five billion, four hundred sixty-three million, one hundred fifty-eight thousand, twenty".