873232513920 has 1536 divisors, whose sum is σ = 3570347289600. Its totient is φ = 202330275840.

The previous prime is 873232513919. The next prime is 873232513927. The reversal of 873232513920 is 29315232378.

873232513920 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 3 + 251 + 392 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873232513927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4138542615 + ... + 4138542825.

It is an arithmetic number, because the mean of its divisors is an integer number (2324444850).

Almost surely, 2^873232513920 is an apocalyptic number.

873232513920 is a gapful number since it is divisible by the number (80) 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 873232513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785173644800).

873232513920 is an abundant number, since it is smaller than the sum of its proper divisors (2697114775680).

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

873232513920 is a wasteful number, since it uses less digits than its factorization.

873232513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 873232513920 in words is "eight hundred seventy-three billion, two hundred thirty-two million, five hundred thirteen thousand, nine hundred twenty".