86870556000 has 672 divisors, whose sum is σ = 330681851136. Its totient is φ = 22418208000.

The previous prime is 86870555987. The next prime is 86870556001. The reversal of 86870556000 is 65507868.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86870556000 is a `hidden beast` number, since 8 + 6 + 87 + 0 + 5 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86870556001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 2802275985 + ... + 2802276015.

It is an arithmetic number, because the mean of its divisors is an integer number (492086088).

Almost surely, 2^86870556000 is an apocalyptic number.

86870556000 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 86870556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165340925568).

86870556000 is an abundant number, since it is smaller than the sum of its proper divisors (243811295136).

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

86870556000 is an frugal number, since it uses more digits than its factorization.

86870556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 86870556000 in words is "eighty-six billion, eight hundred seventy million, five hundred fifty-six thousand".