55319040000 has 975 divisors, whose sum is σ = 232940187623. Its totient is φ = 12644352000.

The previous prime is 55319039953. The next prime is 55319040013. The reversal of 55319040000 is 4091355.

The square root of 55319040000 is 235200.

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

55319040000 is a `hidden beast` number, since 5 + 531 + 90 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4337012736 + 50982027264 = 65856^2 + 225792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 7902719997 + ... + 7902720003.

Almost surely, 2^55319040000 is an apocalyptic number.

55319040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55319040000 is the 235200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55319040000

55319040000 is an abundant number, since it is smaller than the sum of its proper divisors (177621147623).

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

55319040000 is an frugal number, since it uses more digits than its factorization.

55319040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 55319040000 in words is "fifty-five billion, three hundred nineteen million, forty thousand".