54319388753800 has 48 divisors (see below), whose sum is σ = 126293984608500. Its totient is φ = 21727513651200.

The previous prime is 54319388753783. The next prime is 54319388753803. The reversal of 54319388753800 is 835788391345.

It can be written as a sum of positive squares in 6 ways, for example, as 19825450846084 + 34493937907716 = 4452578^2 + 5873154^2 .

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54319388753803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17070976 + ... + 20001424.

Almost surely, 2^{54319388753800} is an apocalyptic number.

54319388753800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54319388753800 is an abundant number, since it is smaller than the sum of its proper divisors (71974595854700).

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

54319388753800 is a wasteful number, since it uses less digits than its factorization.

54319388753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023146 (or 3023137 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 54319388753800 in words is "fifty-four trillion, three hundred nineteen billion, three hundred eighty-eight million, seven hundred fifty-three thousand, eight hundred".