86425916129280 has 4800 divisors, whose sum is σ = 409244206694400. Its totient is φ = 17304756682752.

The previous prime is 86425916129237. The next prime is 86425916129281. The reversal of 86425916129280 is 8292161952468.

86425916129280 is a `hidden beast` number, since 8 + 6 + 4 + 2 + 5 + 9 + 1 + 612 + 9 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86425916129281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 680519024577 + ... + 680519024703.

It is an arithmetic number, because the mean of its divisors is an integer number (85259209728).

Almost surely, 2^{86425916129280} is an apocalyptic number.

86425916129280 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 86425916129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204622103347200).

86425916129280 is an abundant number, since it is smaller than the sum of its proper divisors (322818290565120).

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

86425916129280 is a wasteful number, since it uses less digits than its factorization.

86425916129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 86425916129280 in words is "eighty-six trillion, four hundred twenty-five billion, nine hundred sixteen million, one hundred twenty-nine thousand, two hundred eighty".