25753147920 has 60 divisors (see below), whose sum is σ = 86487657516. Its totient is φ = 6867505920.

The previous prime is 25753147897. The next prime is 25753147949. The reversal of 25753147920 is 2974135752.

It is a happy number.

25753147920 is a `hidden beast` number, since 2 + 57 + 531 + 47 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10841807376 + 14911340544 = 104124^2 + 122112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17883411 + ... + 17884850.

Almost surely, 2^25753147920 is an apocalyptic number.

25753147920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25753147920 is an abundant number, since it is smaller than the sum of its proper divisors (60734509596).

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

25753147920 is a wasteful number, since it uses less digits than its factorization.

25753147920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35768280 (or 35768271 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 25753147920 in words is "twenty-five billion, seven hundred fifty-three million, one hundred forty-seven thousand, nine hundred twenty".