25204510685952 has 1440 divisors, whose sum is σ = 85233315271104. Its totient is φ = 7357464576000.

The previous prime is 25204510685951. The next prime is 25204510685953. The reversal of 25204510685952 is 25958601540252.

It is a happy number.

25204510685952 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 45 + 1 + 0 + 6 + 8 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25204510685951) and next prime (25204510685953).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25204510685951) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74790832728 + ... + 74790833064.

Almost surely, 2^{25204510685952} 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 25204510685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42616657635552).

25204510685952 is an abundant number, since it is smaller than the sum of its proper divisors (60028804585152).

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

25204510685952 is a wasteful number, since it uses less digits than its factorization.

25204510685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 25204510685952 in words is "twenty-five trillion, two hundred four billion, five hundred ten million, six hundred eighty-five thousand, nine hundred fifty-two".