25730203752 has 72 divisors (see below), whose sum is σ = 76596999570. Its totient is φ = 7797028800.

The previous prime is 25730203717. The next prime is 25730203787.

25730203752 is a `hidden beast` number, since 2 + 573 + 0 + 2 + 0 + 37 + 52 = 666.

25730203752 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25730203717) and next prime (25730203787).

It can be written as a sum of positive squares in only one way, i.e., 14731647876 + 10998555876 = 121374^2 + 104874^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1467999 + ... + 1485422.

Almost surely, 2^25730203752 is an apocalyptic number.

25730203752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25730203752 is an abundant number, since it is smaller than the sum of its proper divisors (50866795818).

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

25730203752 is a wasteful number, since it uses less digits than its factorization.

25730203752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953455 (or 2953437 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 25730203752 in words is "twenty-five billion, seven hundred thirty million, two hundred three thousand, seven hundred fifty-two".