16807061952 has 336 divisors, whose sum is σ = 54896674560. Its totient is φ = 5074679808.

The previous prime is 16807061941. The next prime is 16807061983. The reversal of 16807061952 is 25916070861.

It is a junction number, because it is equal to n+sod(n) for n = 16807061898 and 16807061907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6794988 + ... + 6797460.

It is an arithmetic number, because the mean of its divisors is an integer number (163382960).

Almost surely, 2^16807061952 is an apocalyptic number.

16807061952 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 16807061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27448337280).

16807061952 is an abundant number, since it is smaller than the sum of its proper divisors (38089612608).

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

16807061952 is a wasteful number, since it uses less digits than its factorization.

16807061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 16807061952 in words is "sixteen billion, eight hundred seven million, sixty-one thousand, nine hundred fifty-two".