172638110400 has 672 divisors, whose sum is σ = 681160212480. Its totient is φ = 37425991680.

The previous prime is 172638110389. The next prime is 172638110429. The reversal of 172638110400 is 4011836271.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98144721 + ... + 98146479.

Almost surely, 2^172638110400 is an apocalyptic number.

172638110400 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 172638110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340580106240).

172638110400 is an abundant number, since it is smaller than the sum of its proper divisors (508522102080).

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

172638110400 is a wasteful number, since it uses less digits than its factorization.

172638110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 172638110400 its reverse (4011836271), we get a palindrome (176649946671).

The spelling of 172638110400 in words is "one hundred seventy-two billion, six hundred thirty-eight million, one hundred ten thousand, four hundred".