86514785424 has 80 divisors (see below), whose sum is σ = 248717682240. Its totient is φ = 28793180160.

The previous prime is 86514785411. The next prime is 86514785437. The reversal of 86514785424 is 42458741568.

86514785424 is a `hidden beast` number, since 8 + 6 + 51 + 47 + 8 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86514785411) and next prime (86514785437).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120699 + ... + 433125.

It is an arithmetic number, because the mean of its divisors is an integer number (3108971028).

Almost surely, 2^86514785424 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 86514785424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358841120).

86514785424 is an abundant number, since it is smaller than the sum of its proper divisors (162202896816).

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

86514785424 is a wasteful number, since it uses less digits than its factorization.

86514785424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313085 (or 313073 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 86514785424 in words is "eighty-six billion, five hundred fourteen million, seven hundred eighty-five thousand, four hundred twenty-four".