16078632960 has 576 divisors, whose sum is σ = 58991587200. Its totient is φ = 3726508032.

The previous prime is 16078632923. The next prime is 16078632961. The reversal of 16078632960 is 6923687061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16078632961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98641839 + ... + 98642001.

It is an arithmetic number, because the mean of its divisors is an integer number (102415950).

Almost surely, 2^16078632960 is an apocalyptic number.

16078632960 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 16078632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29495793600).

16078632960 is an abundant number, since it is smaller than the sum of its proper divisors (42912954240).

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

16078632960 is a wasteful number, since it uses less digits than its factorization.

16078632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 16078632960 in words is "sixteen billion, seventy-eight million, six hundred thirty-two thousand, nine hundred sixty".