172966622400 has 2352 divisors, whose sum is σ = 806787299808. Its totient is φ = 35831808000.

The previous prime is 172966622399. The next prime is 172966622407. The reversal of 172966622400 is 4226669271.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (172966622407) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2835518370 + ... + 2835518430.

Almost surely, 2^172966622400 is an apocalyptic number.

172966622400 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 172966622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403393649904).

172966622400 is an abundant number, since it is smaller than the sum of its proper divisors (633820677408).

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

172966622400 is a wasteful number, since it uses less digits than its factorization.

172966622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 172966622400 in words is "one hundred seventy-two billion, nine hundred sixty-six million, six hundred twenty-two thousand, four hundred".