16836247872 has 280 divisors, whose sum is σ = 51651191592. Its totient is φ = 5419008000.

The previous prime is 16836247853. The next prime is 16836247889. The reversal of 16836247872 is 27874263861.

16836247872 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 624 + 7 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 16833505536 = 1656^2 + 129744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24017122 + ... + 24017822.

Almost surely, 2^16836247872 is an apocalyptic number.

16836247872 is a gapful number since it is divisible by the number (12) 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 16836247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25825595796).

16836247872 is an abundant number, since it is smaller than the sum of its proper divisors (34814943720).

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

16836247872 is a wasteful number, since it uses less digits than its factorization.

16836247872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 860 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 16836247872 in words is "sixteen billion, eight hundred thirty-six million, two hundred forty-seven thousand, eight hundred seventy-two".