172788940800 has 1296 divisors, whose sum is σ = 757253532672. Its totient is φ = 38220595200.

The previous prime is 172788940799. The next prime is 172788940817. The reversal of 172788940800 is 8049887271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×172788940800³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5573836785 + ... + 5573836815.

Almost surely, 2^172788940800 is an apocalyptic number.

172788940800 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 172788940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378626766336).

172788940800 is an abundant number, since it is smaller than the sum of its proper divisors (584464591872).

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

172788940800 is an frugal number, since it uses more digits than its factorization.

172788940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 172788940800 in words is "one hundred seventy-two billion, seven hundred eighty-eight million, nine hundred forty thousand, eight hundred".