17973141540 has 96 divisors (see below), whose sum is σ = 53467827840. Its totient is φ = 4495435776.

The previous prime is 17973141533. The next prime is 17973141553. The reversal of 17973141540 is 4514137971.

It is a junction number, because it is equal to n+sod(n) for n = 17973141492 and 17973141501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268791 + ... + 328929.

It is an arithmetic number, because the mean of its divisors is an integer number (556956540).

Almost surely, 2^17973141540 is an apocalyptic number.

17973141540 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 17973141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26733913920).

17973141540 is an abundant number, since it is smaller than the sum of its proper divisors (35494686300).

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

17973141540 is a wasteful number, since it uses less digits than its factorization.

17973141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60461 (or 60459 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 17973141540 in words is "seventeen billion, nine hundred seventy-three million, one hundred forty-one thousand, five hundred forty".