16556778869760 has 1056 divisors, whose sum is σ = 60320946216960. Its totient is φ = 4194046771200.

The previous prime is 16556778869731. The next prime is 16556778869789. The reversal of 16556778869760 is 6796887765561.

It is an interprime number because it is at equal distance from previous prime (16556778869731) and next prime (16556778869789).

It is a super-4 number, since 4×16556778869760⁴ (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16556778869760.

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, 19274480211 + ... + 19274481069.

It is an arithmetic number, because the mean of its divisors is an integer number (57122108160).

Almost surely, 2^{16556778869760} is an apocalyptic number.

16556778869760 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 16556778869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30160473108480).

16556778869760 is an abundant number, since it is smaller than the sum of its proper divisors (43764167347200).

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

16556778869760 is a wasteful number, since it uses less digits than its factorization.

16556778869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 16556778869760 in words is "sixteen trillion, five hundred fifty-six billion, seven hundred seventy-eight million, eight hundred sixty-nine thousand, seven hundred sixty".