86257959552 has 384 divisors, whose sum is σ = 269393342400. Its totient is φ = 26402734080.

The previous prime is 86257959551. The next prime is 86257959553. The reversal of 86257959552 is 25595975268.

86257959552 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 79 + 5 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (86257959551) and next prime (86257959553).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 86257959552.

It is not an unprimeable number, because it can be changed into a prime (86257959551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248581843 + ... + 248582189.

Almost surely, 2^86257959552 is an apocalyptic number.

86257959552 is a gapful number since it is divisible by the number (82) 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 86257959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134696671200).

86257959552 is an abundant number, since it is smaller than the sum of its proper divisors (183135382848).

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

86257959552 is a wasteful number, since it uses less digits than its factorization.

86257959552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 63.

The spelling of 86257959552 in words is "eighty-six billion, two hundred fifty-seven million, nine hundred fifty-nine thousand, five hundred fifty-two".