16137948960 has 288 divisors, whose sum is σ = 63699592320. Its totient is φ = 3644043264.

The previous prime is 16137948949. The next prime is 16137949013. The reversal of 16137948960 is 6984973161.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 16137948897 and 16137948906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826996 + ... + 846284.

It is an arithmetic number, because the mean of its divisors is an integer number (221179140).

Almost surely, 2^16137948960 is an apocalyptic number.

16137948960 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 16137948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31849796160).

16137948960 is an abundant number, since it is smaller than the sum of its proper divisors (47561643360).

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

16137948960 is a wasteful number, since it uses less digits than its factorization.

16137948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19400 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 16137948960 in words is "sixteen billion, one hundred thirty-seven million, nine hundred forty-eight thousand, nine hundred sixty".