161516766000 has 320 divisors, whose sum is σ = 542835970560. Its totient is φ = 41277772800.

The previous prime is 161516765983. The next prime is 161516766013. The reversal of 161516766000 is 667615161.

It is a self number, because there is not a number n which added to its sum of digits gives 161516766000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14868571 + ... + 14879429.

It is an arithmetic number, because the mean of its divisors is an integer number (1696362408).

Almost surely, 2^161516766000 is an apocalyptic number.

161516766000 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 161516766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271417985280).

161516766000 is an abundant number, since it is smaller than the sum of its proper divisors (381319204560).

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

161516766000 is a wasteful number, since it uses less digits than its factorization.

161516766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 161516766000 in words is "one hundred sixty-one billion, five hundred sixteen million, seven hundred sixty-six thousand".