87852371820 has 192 divisors, whose sum is σ = 258981166080. Its totient is φ = 22208947200.

The previous prime is 87852371819. The next prime is 87852371833. The reversal of 87852371820 is 2817325878.

It is a super-2 number, since 2×87852371820² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 127137675 + ... + 127138365.

It is an arithmetic number, because the mean of its divisors is an integer number (1348860240).

Almost surely, 2^87852371820 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 87852371820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129490583040).

87852371820 is an abundant number, since it is smaller than the sum of its proper divisors (171128794260).

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

87852371820 is a wasteful number, since it uses less digits than its factorization.

87852371820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 87852371820 in words is "eighty-seven billion, eight hundred fifty-two million, three hundred seventy-one thousand, eight hundred twenty".