10728878160 has 1280 divisors, whose sum is σ = 49244848128. Its totient is φ = 1857945600.

The previous prime is 10728878137. The next prime is 10728878179. The reversal of 10728878160 is 6187882701.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151110925 + ... + 151110995.

Almost surely, 2^10728878160 is an apocalyptic number.

10728878160 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 10728878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622424064).

10728878160 is an abundant number, since it is smaller than the sum of its proper divisors (38515969968).

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

10728878160 is a wasteful number, since it uses less digits than its factorization.

10728878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

It can be divided in two parts, 10728 and 878160, that added together give a palindrome (888888).

The spelling of 10728878160 in words is "ten billion, seven hundred twenty-eight million, eight hundred seventy-eight thousand, one hundred sixty".