16275409920 has 1056 divisors, whose sum is σ = 73181068800. Its totient is φ = 3357573120.

The previous prime is 16275409919. The next prime is 16275410023. The reversal of 16275409920 is 2990457261.

16275409920 is a `hidden beast` number, since 16 + 2 + 7 + 540 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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, 117089211 + ... + 117089349.

Almost surely, 2^16275409920 is an apocalyptic number.

16275409920 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 16275409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590534400).

16275409920 is an abundant number, since it is smaller than the sum of its proper divisors (56905658880).

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

16275409920 is a wasteful number, since it uses less digits than its factorization.

16275409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

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

The spelling of 16275409920 in words is "sixteen billion, two hundred seventy-five million, four hundred nine thousand, nine hundred twenty".