86062651200 has 672 divisors, whose sum is σ = 336362161920. Its totient is φ = 21349785600.

The previous prime is 86062651187. The next prime is 86062651229. The reversal of 86062651200 is 215626068.

86062651200 is a `hidden beast` number, since 8 + 6 + 0 + 626 + 5 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×86062651200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36762030 + ... + 36764370.

Almost surely, 2^86062651200 is an apocalyptic number.

86062651200 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 86062651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168181080960).

86062651200 is an abundant number, since it is smaller than the sum of its proper divisors (250299510720).

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

86062651200 is a wasteful number, since it uses less digits than its factorization.

86062651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 86062651200 in words is "eighty-six billion, sixty-two million, six hundred fifty-one thousand, two hundred".