172214380800 has 1944 divisors, whose sum is σ = 820444675680. Its totient is φ = 34952601600.

The previous prime is 172214380787. The next prime is 172214380829. The reversal of 172214380800 is 8083412271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4004985579 + ... + 4004985621.

Almost surely, 2^172214380800 is an apocalyptic number.

172214380800 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 172214380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410222337840).

172214380800 is an abundant number, since it is smaller than the sum of its proper divisors (648230294880).

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

172214380800 is a wasteful number, since it uses less digits than its factorization.

172214380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 172214380800 in words is "one hundred seventy-two billion, two hundred fourteen million, three hundred eighty thousand, eight hundred".