172256797218 has 512 divisors, whose sum is σ = 451852369920. Its totient is φ = 43110144000.

The previous prime is 172256797213. The next prime is 172256797261. The reversal of 172256797218 is 812797652271.

It is a happy number.

It is a super-3 number, since 3×172256797218³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (5927040) is a multiple of the sum of its prime divisors (294).

It is not an unprimeable number, because it can be changed into a prime (172256797213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1356352671 + ... + 1356352797.

It is an arithmetic number, because the mean of its divisors is an integer number (882524160).

Almost surely, 2^172256797218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172256797218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225926184960).

172256797218 is an abundant number, since it is smaller than the sum of its proper divisors (279595572702).

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

172256797218 is a wasteful number, since it uses less digits than its factorization.

172256797218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its digits is 5927040, while the sum is 57.

The spelling of 172256797218 in words is "one hundred seventy-two billion, two hundred fifty-six million, seven hundred ninety-seven thousand, two hundred eighteen".