16772610814120 has 192 divisors, whose sum is σ = 45923861450880. Its totient is φ = 5486721698304.

The previous prime is 16772610814111. The next prime is 16772610814133. The reversal of 16772610814120 is 2141801627761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 17428167 + ... + 18365353.

It is an arithmetic number, because the mean of its divisors is an integer number (239186778390).

Almost surely, 2^{16772610814120} is an apocalyptic number.

16772610814120 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 16772610814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961930725440).

16772610814120 is an abundant number, since it is smaller than the sum of its proper divisors (29151250636760).

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

16772610814120 is a wasteful number, since it uses less digits than its factorization.

16772610814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937632 (or 937621 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 16772610814120 in words is "sixteen trillion, seven hundred seventy-two billion, six hundred ten million, eight hundred fourteen thousand, one hundred twenty".