8539954182400 has 81 divisors (see below), whose sum is σ = 21138299641011. Its totient is φ = 3415888158720.

The previous prime is 8539954182337. The next prime is 8539954182401. The reversal of 8539954182400 is 42814599358.

It is a happy number.

The square root of 8539954182400 is 2922320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156474042624 + 8383480139776 = 395568^2 + 2895424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8539954182401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 233767336 + ... + 233803864.

Almost surely, 2^{8539954182400} is an apocalyptic number.

8539954182400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8539954182400 is the 2922320-th square number.

It is an amenable number.

8539954182400 is an abundant number, since it is smaller than the sum of its proper divisors (12598345458611).

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

8539954182400 is an frugal number, since it uses more digits than its factorization.

8539954182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73084 (or 36536 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 8539954182400 in words is "eight trillion, five hundred thirty-nine billion, nine hundred fifty-four million, one hundred eighty-two thousand, four hundred".