86656407552 has 720 divisors, whose sum is σ = 306846179640. Its totient is φ = 24153292800.

The previous prime is 86656407547. The next prime is 86656407557. The reversal of 86656407552 is 25570465668.

86656407552 is a `hidden beast` number, since 8 + 6 + 6 + 564 + 0 + 75 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86656407547) and next prime (86656407557).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86656407557) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 308385652 + ... + 308385932.

Almost surely, 2^86656407552 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 86656407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153423089820).

86656407552 is an abundant number, since it is smaller than the sum of its proper divisors (220189772088).

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

86656407552 is a wasteful number, since it uses less digits than its factorization.

86656407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 86656407552 in words is "eighty-six billion, six hundred fifty-six million, four hundred seven thousand, five hundred fifty-two".