86052375752 has 192 divisors, whose sum is σ = 206951397120. Its totient is φ = 32741646336.

The previous prime is 86052375751. The next prime is 86052375767. The reversal of 86052375752 is 25757325068.

It is a super-2 number, since 2×86052375752² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86052375752.

It is not an unprimeable number, because it can be changed into a prime (86052375751) 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, 115817093 + ... + 115817835.

It is an arithmetic number, because the mean of its divisors is an integer number (1077871860).

Almost surely, 2^86052375752 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 86052375752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103475698560).

86052375752 is an abundant number, since it is smaller than the sum of its proper divisors (120899021368).

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

86052375752 is a wasteful number, since it uses less digits than its factorization.

86052375752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 86052375752 in words is "eighty-six billion, fifty-two million, three hundred seventy-five thousand, seven hundred fifty-two".