17952380020 has 48 divisors (see below), whose sum is σ = 38933124048. Its totient is φ = 6948218880.

The previous prime is 17952379999. The next prime is 17952380029. The reversal of 17952380020 is 2008325971.

It can be written as a sum of positive squares in 8 ways, for example, as 390299536 + 17562080484 = 19756^2 + 132522^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17952380029) 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, 66924 + ... + 200956.

It is an arithmetic number, because the mean of its divisors is an integer number (811106751).

Almost surely, 2^17952380020 is an apocalyptic number.

17952380020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17952380020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466562024).

17952380020 is an abundant number, since it is smaller than the sum of its proper divisors (20980744028).

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

17952380020 is a wasteful number, since it uses less digits than its factorization.

17952380020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134260 (or 134258 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 17952380020 in words is "seventeen billion, nine hundred fifty-two million, three hundred eighty thousand, twenty".