87845219964 has 72 divisors (see below), whose sum is σ = 230564880000. Its totient is φ = 28166834304.

The previous prime is 87845219933. The next prime is 87845219971. The reversal of 87845219964 is 46991254878.

87845219964 is a `hidden beast` number, since 87 + 8 + 452 + 19 + 96 + 4 = 666.

It is a super-2 number, since 2×87845219964² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124437 + ... + 437235.

It is an arithmetic number, because the mean of its divisors is an integer number (3202290000).

Almost surely, 2^87845219964 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 87845219964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115282440000).

87845219964 is an abundant number, since it is smaller than the sum of its proper divisors (142719660036).

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

87845219964 is a wasteful number, since it uses less digits than its factorization.

87845219964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313107 (or 313102 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 87845219964 in words is "eighty-seven billion, eight hundred forty-five million, two hundred nineteen thousand, nine hundred sixty-four".