86010748824 has 256 divisors, whose sum is σ = 292368384000. Its totient is φ = 20360471040.

The previous prime is 86010748819. The next prime is 86010748829. The reversal of 86010748824 is 42884701068.

It is an interprime number because it is at equal distance from previous prime (86010748819) and next prime (86010748829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86010748829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1875237 + ... + 1920555.

It is an arithmetic number, because the mean of its divisors is an integer number (1142064000).

Almost surely, 2^86010748824 is an apocalyptic number.

86010748824 is a gapful number since it is divisible by the number (84) 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 86010748824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146184192000).

86010748824 is an abundant number, since it is smaller than the sum of its proper divisors (206357635176).

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

86010748824 is a wasteful number, since it uses less digits than its factorization.

86010748824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45438 (or 45434 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 86010748824 in words is "eighty-six billion, ten million, seven hundred forty-eight thousand, eight hundred twenty-four".