86297152121856 has 880 divisors, whose sum is σ = 280057313104800. Its totient is φ = 26468247896064.

The previous prime is 86297152121849. The next prime is 86297152121867. The reversal of 86297152121856 is 65812125179268.

86297152121856 is a `hidden beast` number, since 8 + 6 + 2 + 9 + 7 + 1 + 521 + 21 + 85 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86297152121793 and 86297152121802.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80726989290 + ... + 80726990358.

It is an arithmetic number, because the mean of its divisors is an integer number (318246946710).

Almost surely, 2^{86297152121856} 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 86297152121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140028656552400).

86297152121856 is an abundant number, since it is smaller than the sum of its proper divisors (193760160982944).

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

86297152121856 is a wasteful number, since it uses less digits than its factorization.

86297152121856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1530 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 86297152121856 in words is "eighty-six trillion, two hundred ninety-seven billion, one hundred fifty-two million, one hundred twenty-one thousand, eight hundred fifty-six".