86947424256 has 768 divisors, whose sum is σ = 322672896000. Its totient is φ = 20101201920.

The previous prime is 86947424243. The next prime is 86947424269. The reversal of 86947424256 is 65242474968.

It is an interprime number because it is at equal distance from previous prime (86947424243) and next prime (86947424269).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (23224320) is a multiple of the sum of its prime factors (648).

It is a junction number, because it is equal to n+sod(n) for n = 86947424196 and 86947424205.

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, 152807140 + ... + 152807708.

It is an arithmetic number, because the mean of its divisors is an integer number (420147000).

Almost surely, 2^86947424256 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 86947424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448000).

86947424256 is an abundant number, since it is smaller than the sum of its proper divisors (235725471744).

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

86947424256 is a wasteful number, since it uses less digits than its factorization.

86947424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 628 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 86947424256 in words is "eighty-six billion, nine hundred forty-seven million, four hundred twenty-four thousand, two hundred fifty-six".