172988764800 has 192 divisors, whose sum is σ = 576996700800. Its totient is φ = 45546209280.

The previous prime is 172988764787. The next prime is 172988764801. The reversal of 172988764800 is 8467889271.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×172988764800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (172988764801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644352 + ... + 872448.

It is an arithmetic number, because the mean of its divisors is an integer number (3005191150).

Almost surely, 2^172988764800 is an apocalyptic number.

172988764800 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 172988764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288498350400).

172988764800 is an abundant number, since it is smaller than the sum of its proper divisors (404007936000).

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

172988764800 is a wasteful number, since it uses less digits than its factorization.

172988764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228203 (or 228186 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 172988764800 in words is "one hundred seventy-two billion, nine hundred eighty-eight million, seven hundred sixty-four thousand, eight hundred".