16277801904 has 960 divisors, whose sum is σ = 64342548480. Its totient is φ = 3829524480.

The previous prime is 16277801899. The next prime is 16277801909. The reversal of 16277801904 is 40910877261.

It is a happy number.

16277801904 is a `hidden beast` number, since 1 + 627 + 7 + 8 + 0 + 19 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16277801899) and next prime (16277801909).

It is a self number, because there is not a number n which added to its sum of digits gives 16277801904.

It is not an unprimeable number, because it can be changed into a prime (16277801909) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 439940574 + ... + 439940610.

It is an arithmetic number, because the mean of its divisors is an integer number (67023488).

Almost surely, 2^16277801904 is an apocalyptic number.

16277801904 is a gapful number since it is divisible by the number (14) 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 16277801904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32171274240).

16277801904 is an abundant number, since it is smaller than the sum of its proper divisors (48064746576).

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

16277801904 is a wasteful number, since it uses less digits than its factorization.

16277801904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16277801904 in words is "sixteen billion, two hundred seventy-seven million, eight hundred one thousand, nine hundred four".