16257669120 has 1152 divisors, whose sum is σ = 73592064000. Its totient is φ = 3220439040.

The previous prime is 16257669119. The next prime is 16257669137. The reversal of 16257669120 is 2196675261.

16257669120 is a `hidden beast` number, since 1 + 6 + 2 + 576 + 69 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205793241 + ... + 205793319.

It is an arithmetic number, because the mean of its divisors is an integer number (63882000).

Almost surely, 2^16257669120 is an apocalyptic number.

16257669120 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 16257669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032000).

16257669120 is an abundant number, since it is smaller than the sum of its proper divisors (57334394880).

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

16257669120 is a wasteful number, since it uses less digits than its factorization.

16257669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 16257669120 in words is "sixteen billion, two hundred fifty-seven million, six hundred sixty-nine thousand, one hundred twenty".