86924212830 has 768 divisors, whose sum is σ = 321767147520. Its totient is φ = 16339304448.

The previous prime is 86924212819. The next prime is 86924212831. The reversal of 86924212830 is 3821242968.

It is a super-2 number, since 2×86924212830² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86924212831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71424382 + ... + 71425598.

It is an arithmetic number, because the mean of its divisors is an integer number (418967640).

Almost surely, 2^86924212830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86924212830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160883573760).

86924212830 is an abundant number, since it is smaller than the sum of its proper divisors (234842934690).

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

86924212830 is a wasteful number, since it uses less digits than its factorization.

86924212830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86924212830 in words is "eighty-six billion, nine hundred twenty-four million, two hundred twelve thousand, eight hundred thirty".