172158606400 has 567 divisors, whose sum is σ = 498916037599. Its totient is φ = 58420736000.

The previous prime is 172158606353. The next prime is 172158606407. The reversal of 172158606400 is 4606851271.

The square root of 172158606400 is 414920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72464332864 + 99694273536 = 269192^2 + 315744^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172158606407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4198990380 + ... + 4198990420.

Almost surely, 2^172158606400 is an apocalyptic number.

172158606400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172158606400 is the 414920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172158606400

172158606400 is an abundant number, since it is smaller than the sum of its proper divisors (326757431199).

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

172158606400 is a wasteful number, since it uses less digits than its factorization.

172158606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 172158606400 in words is "one hundred seventy-two billion, one hundred fifty-eight million, six hundred six thousand, four hundred".