87111321840 has 480 divisors, whose sum is σ = 309008793600. Its totient is φ = 21964400640.

The previous prime is 87111321827. The next prime is 87111321841. The reversal of 87111321840 is 4812311178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87111321795 and 87111321804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87111321841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223936366 + ... + 223936754.

It is an arithmetic number, because the mean of its divisors is an integer number (643768320).

Almost surely, 2^87111321840 is an apocalyptic number.

87111321840 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 87111321840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154504396800).

87111321840 is an abundant number, since it is smaller than the sum of its proper divisors (221897471760).

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

87111321840 is a wasteful number, since it uses less digits than its factorization.

87111321840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 87111321840 in words is "eighty-seven billion, one hundred eleven million, three hundred twenty-one thousand, eight hundred forty".