172948838720 has 224 divisors, whose sum is σ = 475034457600. Its totient is φ = 58749050880.

The previous prime is 172948838681. The next prime is 172948838729. The reversal of 172948838720 is 27838849271.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×172948838720² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172948838720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172948838729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210655910 + ... + 210656730.

Almost surely, 2^172948838720 is an apocalyptic number.

172948838720 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 172948838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237517228800).

172948838720 is an abundant number, since it is smaller than the sum of its proper divisors (302085618880).

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

172948838720 is a wasteful number, since it uses less digits than its factorization.

172948838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 172948838720 in words is "one hundred seventy-two billion, nine hundred forty-eight million, eight hundred thirty-eight thousand, seven hundred twenty".