86420152507536 has 225 divisors, whose sum is σ = 264001758999363. Its totient is φ = 27288566487360.

The previous prime is 86420152507501. The next prime is 86420152507657. The reversal of 86420152507536 is 63570525102468.

The square root of 86420152507536 is 9296244.

It is a perfect power (a square), and thus also a powerful number.

86420152507536 is a `hidden beast` number, since 8 + 6 + 4 + 2 + 0 + 1 + 52 + 50 + 7 + 536 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6358624101 + ... + 6358637691.

Almost surely, 2^{86420152507536} is an apocalyptic number.

86420152507536 is the 9296244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86420152507536

86420152507536 is an abundant number, since it is smaller than the sum of its proper divisors (177581606491827).

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

86420152507536 is an frugal number, since it uses more digits than its factorization.

86420152507536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27240 (or 13615 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 86420152507536 in words is "eighty-six trillion, four hundred twenty billion, one hundred fifty-two million, five hundred seven thousand, five hundred thirty-six".