17948879520 has 768 divisors, whose sum is σ = 70230343680. Its totient is φ = 3793305600.

The previous prime is 17948879489. The next prime is 17948879539. The reversal of 17948879520 is 2597884971.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141329697 + ... + 141329823.

It is an arithmetic number, because the mean of its divisors is an integer number (91445760).

Almost surely, 2^17948879520 is an apocalyptic number.

17948879520 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 17948879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35115171840).

17948879520 is an abundant number, since it is smaller than the sum of its proper divisors (52281464160).

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

17948879520 is a wasteful number, since it uses less digits than its factorization.

17948879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 17948879520 in words is "seventeen billion, nine hundred forty-eight million, eight hundred seventy-nine thousand, five hundred twenty".