86361252840 has 256 divisors, whose sum is σ = 300909772800. Its totient is φ = 21990051072.

The previous prime is 86361252839. The next prime is 86361252851. The reversal of 86361252840 is 4825216368.

86361252840 is a `hidden beast` number, since 8 + 6 + 3 + 612 + 5 + 28 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15969417 + ... + 15974823.

It is an arithmetic number, because the mean of its divisors is an integer number (1175428800).

Almost surely, 2^86361252840 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 86361252840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150454886400).

86361252840 is an abundant number, since it is smaller than the sum of its proper divisors (214548519960).

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

86361252840 is a wasteful number, since it uses less digits than its factorization.

86361252840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86361252840 in words is "eighty-six billion, three hundred sixty-one million, two hundred fifty-two thousand, eight hundred forty".