16312133760 has 512 divisors, whose sum is σ = 60949324800. Its totient is φ = 3673423872.

The previous prime is 16312133749. The next prime is 16312133771. The reversal of 16312133760 is 6733121361.

It is an interprime number because it is at equal distance from previous prime (16312133749) and next prime (16312133771).

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, 15699321 + ... + 15700359.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 2^16312133760 is an apocalyptic number.

16312133760 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 16312133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

16312133760 is an abundant number, since it is smaller than the sum of its proper divisors (44637191040).

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

16312133760 is a wasteful number, since it uses less digits than its factorization.

16312133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 16312133760 in words is "sixteen billion, three hundred twelve million, one hundred thirty-three thousand, seven hundred sixty".