86219751424 has 153 divisors (see below), whose sum is σ = 183125978721. Its totient is φ = 40591687680.

The previous prime is 86219751419. The next prime is 86219751451. The reversal of 86219751424 is 42415791268.

The square root of 86219751424 is 293632.

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

It can be written as a sum of positive squares in only one way, i.e., 77150617600 + 9069133824 = 277760^2 + 95232^2 .

It is a Duffinian number.

Its product of digits (967680) is a multiple of the sum of its prime divisors (70).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2330263534 + ... + 2330263570.

Almost surely, 2^86219751424 is an apocalyptic number.

86219751424 is the 293632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86219751424

86219751424 is an abundant number, since it is smaller than the sum of its proper divisors (96906227297).

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

86219751424 is an frugal number, since it uses more digits than its factorization.

86219751424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 70 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 86219751424 by its sum of digits (49), we get a square (4224767819776 = 2055424²).

The spelling of 86219751424 in words is "eighty-six billion, two hundred nineteen million, seven hundred fifty-one thousand, four hundred twenty-four".