86911398900 has 288 divisors, whose sum is σ = 288216552960. Its totient is φ = 22455360000.

The previous prime is 86911398877. The next prime is 86911398911. The reversal of 86911398900 is 989311968.

86911398900 is a `hidden beast` number, since 86 + 91 + 1 + 398 + 90 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 12813510 + ... + 12820290.

It is an arithmetic number, because the mean of its divisors is an integer number (1000751920).

Almost surely, 2^86911398900 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 86911398900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144108276480).

86911398900 is an abundant number, since it is smaller than the sum of its proper divisors (201305154060).

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

86911398900 is a wasteful number, since it uses less digits than its factorization.

86911398900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 86911398900 in words is "eighty-six billion, nine hundred eleven million, three hundred ninety-eight thousand, nine hundred".