86267625050880 has 1728 divisors, whose sum is σ = 384412234752000. Its totient is φ = 17360930340864.

The previous prime is 86267625050779. The next prime is 86267625050909. The reversal of 86267625050880 is 8805052676268.

86267625050880 is a `hidden beast` number, since 8 + 6 + 2 + 6 + 76 + 2 + 50 + 508 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8848864246 + ... + 8848873994.

It is an arithmetic number, because the mean of its divisors is an integer number (222460784000).

Almost surely, 2^{86267625050880} is an apocalyptic number.

86267625050880 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 86267625050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192206117376000).

86267625050880 is an abundant number, since it is smaller than the sum of its proper divisors (298144609701120).

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

86267625050880 is a wasteful number, since it uses less digits than its factorization.

86267625050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 86267625050880 in words is "eighty-six trillion, two hundred sixty-seven billion, six hundred twenty-five million, fifty thousand, eight hundred eighty".