31752545920 has 128 divisors (see below), whose sum is σ = 77610914640. Its totient is φ = 12417859584.

The previous prime is 31752545897. The next prime is 31752545927. The reversal of 31752545920 is 2954525713.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13982589504 + 17769956416 = 118248^2 + 133304^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31752545927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10751164 + ... + 10754116.

Almost surely, 2^31752545920 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 31752545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38805457320).

31752545920 is an abundant number, since it is smaller than the sum of its proper divisors (45858368720).

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

31752545920 is a wasteful number, since it uses less digits than its factorization.

31752545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 31752545920 in words is "thirty-one billion, seven hundred fifty-two million, five hundred forty-five thousand, nine hundred twenty".