873552936960 has 1260 divisors, whose sum is σ = 3644940712644. Its totient is φ = 199313326080.

The previous prime is 873552936937. The next prime is 873552936967. The reversal of 873552936960 is 69639255378.

873552936960 is a `hidden beast` number, since 8 + 73 + 5 + 529 + 36 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 503577575424 + 369975361536 = 709632^2 + 608256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873552936967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51385466872 + ... + 51385466888.

Almost surely, 2^873552936960 is an apocalyptic number.

873552936960 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 873552936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822470356322).

873552936960 is an abundant number, since it is smaller than the sum of its proper divisors (2771387775684).

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

873552936960 is an frugal number, since it uses more digits than its factorization.

873552936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 873552936960 in words is "eight hundred seventy-three billion, five hundred fifty-two million, nine hundred thirty-six thousand, nine hundred sixty".