172906607016 has 256 divisors, whose sum is σ = 564989644800. Its totient is φ = 48303302400.

The previous prime is 172906606993. The next prime is 172906607021. The reversal of 172906607016 is 610706609271.

It is a happy number.

172906607016 is a `hidden beast` number, since 1 + 7 + 29 + 0 + 6 + 607 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27394501 + ... + 27400811.

It is an arithmetic number, because the mean of its divisors is an integer number (2206990800).

Almost surely, 2^172906607016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172906607016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282494822400).

172906607016 is an abundant number, since it is smaller than the sum of its proper divisors (392083037784).

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

172906607016 is a wasteful number, since it uses less digits than its factorization.

172906607016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 172906607016 in words is "one hundred seventy-two billion, nine hundred six million, six hundred seven thousand, sixteen".