173385937920 has 704 divisors, whose sum is σ = 656318638080. Its totient is φ = 38655885312.

The previous prime is 173385937919. The next prime is 173385937931. The reversal of 173385937920 is 29739583371.

173385937920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87259167 + ... + 87261153.

Almost surely, 2^173385937920 is an apocalyptic number.

173385937920 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 173385937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328159319040).

173385937920 is an abundant number, since it is smaller than the sum of its proper divisors (482932700160).

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

173385937920 is a wasteful number, since it uses less digits than its factorization.

173385937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 173385937920 in words is "one hundred seventy-three billion, three hundred eighty-five million, nine hundred thirty-seven thousand, nine hundred twenty".