86730249252420 has 288 divisors, whose sum is σ = 265985721630720. Its totient is φ = 22874439409920.

The previous prime is 86730249252389. The next prime is 86730249252469. The reversal of 86730249252420 is 2425294203768.

86730249252420 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 0 + 2 + 4 + 92 + 524 + 20 = 666.

It is a super-2 number, since 2×86730249252420² (a number of 29 digits) contains 22 as substring.

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, 6340387141 + ... + 6340400819.

It is an arithmetic number, because the mean of its divisors is an integer number (923561533440).

Almost surely, 2^{86730249252420} 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 86730249252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132992860815360).

86730249252420 is an abundant number, since it is smaller than the sum of its proper divisors (179255472378300).

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

86730249252420 is a wasteful number, since it uses less digits than its factorization.

86730249252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14935 (or 14930 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 86730249252420 in words is "eighty-six trillion, seven hundred thirty billion, two hundred forty-nine million, two hundred fifty-two thousand, four hundred twenty".