87273806508 has 576 divisors, whose sum is σ = 287502929280. Its totient is φ = 22741254144.

The previous prime is 87273806489. The next prime is 87273806513. The reversal of 87273806508 is 80560837278.

87273806508 is a `hidden beast` number, since 87 + 27 + 38 + 0 + 6 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 637035016 + ... + 637035152.

It is an arithmetic number, because the mean of its divisors is an integer number (499137030).

Almost surely, 2^87273806508 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 87273806508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143751464640).

87273806508 is an abundant number, since it is smaller than the sum of its proper divisors (200229122772).

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

87273806508 is a wasteful number, since it uses less digits than its factorization.

87273806508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 87273806508 in words is "eighty-seven billion, two hundred seventy-three million, eight hundred six thousand, five hundred eight".