87858011520 has 192 divisors, whose sum is σ = 305083162800. Its totient is φ = 23297642496.

The previous prime is 87858011453. The next prime is 87858011557. The reversal of 87858011520 is 2511085878.

87858011520 is a `hidden beast` number, since 8 + 7 + 8 + 580 + 11 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 988434 + ... + 1073646.

Almost surely, 2^87858011520 is an apocalyptic number.

87858011520 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 87858011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152541581400).

87858011520 is an abundant number, since it is smaller than the sum of its proper divisors (217225151280).

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

87858011520 is a wasteful number, since it uses less digits than its factorization.

87858011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85417 (or 85402 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 87858011520 in words is "eighty-seven billion, eight hundred fifty-eight million, eleven thousand, five hundred twenty".