172142555424 has 864 divisors, whose sum is σ = 602870869440. Its totient is φ = 42714169344.

The previous prime is 172142555401. The next prime is 172142555447. The reversal of 172142555424 is 424555241271.

It is an interprime number because it is at equal distance from previous prime (172142555401) and next prime (172142555447).

It is a super-3 number, since 3×172142555424³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1934185972 + ... + 1934186060.

It is an arithmetic number, because the mean of its divisors is an integer number (697767210).

Almost surely, 2^172142555424 is an apocalyptic number.

172142555424 is a gapful number since it is divisible by the number (14) 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 172142555424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301435434720).

172142555424 is an abundant number, since it is smaller than the sum of its proper divisors (430728314016).

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

172142555424 is a wasteful number, since it uses less digits than its factorization.

172142555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

Adding to 172142555424 its reverse (424555241271), we get a palindrome (596697796695).

The spelling of 172142555424 in words is "one hundred seventy-two billion, one hundred forty-two million, five hundred fifty-five thousand, four hundred twenty-four".