873252731520 has 1536 divisors, whose sum is σ = 3592802304000. Its totient is φ = 200908947456.

The previous prime is 873252731503. The next prime is 873252731521. The reversal of 873252731520 is 25137252378.

873252731520 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 52 + 73 + 1 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (873252731521) 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, 4878506791 + ... + 4878506969.

It is an arithmetic number, because the mean of its divisors is an integer number (2339064000).

Almost surely, 2^873252731520 is an apocalyptic number.

873252731520 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 873252731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796401152000).

873252731520 is an abundant number, since it is smaller than the sum of its proper divisors (2719549572480).

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

873252731520 is a wasteful number, since it uses less digits than its factorization.

873252731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

Adding to 873252731520 its reverse (25137252378), we get a palindrome (898389983898).

The spelling of 873252731520 in words is "eight hundred seventy-three billion, two hundred fifty-two million, seven hundred thirty-one thousand, five hundred twenty".