86347925777880 has 1536 divisors, whose sum is σ = 346506723763200. Its totient is φ = 18412389531648.

The previous prime is 86347925777807. The next prime is 86347925777903. The reversal of 86347925777880 is 8877752974368.

86347925777880 is a `hidden beast` number, since 8 + 6 + 3 + 479 + 2 + 5 + 77 + 78 + 8 + 0 = 666.

It is a super-2 number, since 2×86347925777880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86347925777880.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 12545096919 + ... + 12545103801.

It is an arithmetic number, because the mean of its divisors is an integer number (225590314950).

Almost surely, 2^{86347925777880} 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 86347925777880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173253361881600).

86347925777880 is an abundant number, since it is smaller than the sum of its proper divisors (260158797985320).

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

86347925777880 is a wasteful number, since it uses less digits than its factorization.

86347925777880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7185 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 7965941760, while the sum is 81.

The spelling of 86347925777880 in words is "eighty-six trillion, three hundred forty-seven billion, nine hundred twenty-five million, seven hundred seventy-seven thousand, eight hundred eighty".