16040828160 has 648 divisors, whose sum is σ = 65330928936. Its totient is φ = 3622993920.

The previous prime is 16040828143. The next prime is 16040828183. The reversal of 16040828160 is 6182804061.

It can be written as a sum of positive squares in 4 ways, for example, as 249387264 + 15791440896 = 15792^2 + 125664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88623270 + ... + 88623450.

Almost surely, 2^16040828160 is an apocalyptic number.

16040828160 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 16040828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32665464468).

16040828160 is an abundant number, since it is smaller than the sum of its proper divisors (49290100776).

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

16040828160 is a wasteful number, since it uses less digits than its factorization.

16040828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16040828160 in words is "sixteen billion, forty million, eight hundred twenty-eight thousand, one hundred sixty".