12016757760 has 352 divisors, whose sum is σ = 44556344832. Its totient is φ = 2707292160.

The previous prime is 12016757749. The next prime is 12016757789. The reversal of 12016757760 is 6775761021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7848195 + ... + 7849725.

Almost surely, 2^12016757760 is an apocalyptic number.

12016757760 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 12016757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278172416).

12016757760 is an abundant number, since it is smaller than the sum of its proper divisors (32539587072).

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

12016757760 is a wasteful number, since it uses less digits than its factorization.

12016757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 12016757760 in words is "twelve billion, sixteen million, seven hundred fifty-seven thousand, seven hundred sixty".