86497811520 has 448 divisors, whose sum is σ = 299631177216. Its totient is φ = 21055406080.

The previous prime is 86497811507. The next prime is 86497811527. The reversal of 86497811520 is 2511879468.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (86497811527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171963589 + ... + 171964091.

It is an arithmetic number, because the mean of its divisors is an integer number (668819592).

Almost surely, 2^86497811520 is an apocalyptic number.

86497811520 is a gapful number since it is divisible by the number (80) 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 86497811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815588608).

86497811520 is an abundant number, since it is smaller than the sum of its proper divisors (213133365696).

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

86497811520 is a wasteful number, since it uses less digits than its factorization.

86497811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 86497811520 in words is "eighty-six billion, four hundred ninety-seven million, eight hundred eleven thousand, five hundred twenty".