87933688700 has 216 divisors, whose sum is σ = 226480348080. Its totient is φ = 29437056000.

The previous prime is 87933688679. The next prime is 87933688723. The reversal of 87933688700 is 788633978.

It is a super-3 number, since 3×87933688700³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87933688700.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 108693896 + ... + 108694704.

It is an arithmetic number, because the mean of its divisors is an integer number (1048520130).

Almost surely, 2^87933688700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87933688700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113240174040).

87933688700 is an abundant number, since it is smaller than the sum of its proper divisors (138546659380).

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

87933688700 is a wasteful number, since it uses less digits than its factorization.

87933688700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 87933688700 in words is "eighty-seven billion, nine hundred thirty-three million, six hundred eighty-eight thousand, seven hundred".