25062291072 has 960 divisors, whose sum is σ = 98275773960. Its totient is φ = 6069288960.

The previous prime is 25062291071. The next prime is 25062291077. The reversal of 25062291072 is 27019226052.

It is a happy number.

25062291072 is a `hidden beast` number, since 25 + 0 + 622 + 9 + 1 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14107738176 + 10954552896 = 118776^2 + 104664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25062291071) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 611275372 + ... + 611275412.

Almost surely, 2^25062291072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25062291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49137886980).

25062291072 is an abundant number, since it is smaller than the sum of its proper divisors (73213482888).

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

25062291072 is a wasteful number, since it uses less digits than its factorization.

25062291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25062291072 in words is "twenty-five billion, sixty-two million, two hundred ninety-one thousand, seventy-two".