54826759680000 has 4160 divisors, whose sum is σ = 247616577331200. Its totient is φ = 10445783040000.

The previous prime is 54826759679987. The next prime is 54826759680073. The reversal of 54826759680000 is 8695762845.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 394437119931 + ... + 394437120069.

Almost surely, 2^{54826759680000} is an apocalyptic number.

54826759680000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54826759680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123808288665600).

54826759680000 is an abundant number, since it is smaller than the sum of its proper divisors (192789817651200).

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

54826759680000 is a wasteful number, since it uses less digits than its factorization.

54826759680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 54826759680000 in words is "fifty-four trillion, eight hundred twenty-six billion, seven hundred fifty-nine million, six hundred eighty thousand".