87358858020 has 480 divisors, whose sum is σ = 321199312896. Its totient is φ = 19462809600.

The previous prime is 87358858019. The next prime is 87358858031. The reversal of 87358858020 is 2085885378.

It is a happy number.

87358858020 is a `hidden beast` number, since 8 + 7 + 3 + 58 + 8 + 580 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114794440 + ... + 114795200.

Almost surely, 2^87358858020 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 87358858020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160599656448).

87358858020 is an abundant number, since it is smaller than the sum of its proper divisors (233840454876).

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

87358858020 is a wasteful number, since it uses less digits than its factorization.

87358858020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 87358858020 in words is "eighty-seven billion, three hundred fifty-eight million, eight hundred fifty-eight thousand, twenty".