86836421952 has 280 divisors, whose sum is σ = 296347554624. Its totient is φ = 24627898368.

The previous prime is 86836421909. The next prime is 86836421963. The reversal of 86836421952 is 25912463868.

86836421952 is a `hidden beast` number, since 8 + 68 + 364 + 219 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 4962723 + ... + 4980189.

Almost surely, 2^86836421952 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 86836421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148173777312).

86836421952 is an abundant number, since it is smaller than the sum of its proper divisors (209511132672).

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

86836421952 is a wasteful number, since it uses less digits than its factorization.

86836421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17635 (or 17616 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 86836421952 in words is "eighty-six billion, eight hundred thirty-six million, four hundred twenty-one thousand, nine hundred fifty-two".