86598726552 has 192 divisors, whose sum is σ = 264679833600. Its totient is φ = 25379101440.

The previous prime is 86598726523. The next prime is 86598726581. The reversal of 86598726552 is 25562789568.

86598726552 is a `hidden beast` number, since 8 + 6 + 5 + 9 + 8 + 72 + 6 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (86598726523) and next prime (86598726581).

It is a super-3 number, since 3×86598726552³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86598726552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5136777 + ... + 5153607.

It is an arithmetic number, because the mean of its divisors is an integer number (1378540800).

Almost surely, 2^86598726552 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 86598726552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132339916800).

86598726552 is an abundant number, since it is smaller than the sum of its proper divisors (178081107048).

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

86598726552 is a wasteful number, since it uses less digits than its factorization.

86598726552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17118 (or 17111 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 86598726552 in words is "eighty-six billion, five hundred ninety-eight million, seven hundred twenty-six thousand, five hundred fifty-two".