86062905600 has 864 divisors, whose sum is σ = 341618135040. Its totient is φ = 18665472000.

The previous prime is 86062905563. The next prime is 86062905611. The reversal of 86062905600 is 650926068.

It is a super-2 number, since 2×86062905600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276729445 + ... + 276729755.

It is an arithmetic number, because the mean of its divisors is an integer number (395391360).

Almost surely, 2^86062905600 is an apocalyptic number.

86062905600 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 86062905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170809067520).

86062905600 is an abundant number, since it is smaller than the sum of its proper divisors (255555229440).

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

86062905600 is a wasteful number, since it uses less digits than its factorization.

86062905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 86062905600 in words is "eighty-six billion, sixty-two million, nine hundred five thousand, six hundred".