54993475817280 has 5376 divisors, whose sum is σ = 280699556659200. Its totient is φ = 9840608870400.

The previous prime is 54993475817279. The next prime is 54993475817323. The reversal of 54993475817280 is 8271857439945.

54993475817280 is a `hidden beast` number, since 5 + 4 + 9 + 9 + 3 + 475 + 8 + 1 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54993475817199 and 54993475817208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 85526400639 + ... + 85526401281.

It is an arithmetic number, because the mean of its divisors is an integer number (52213459200).

Almost surely, 2^{54993475817280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54993475817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140349778329600).

54993475817280 is an abundant number, since it is smaller than the sum of its proper divisors (225706080841920).

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

54993475817280 is a wasteful number, since it uses less digits than its factorization.

54993475817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 54993475817280 in words is "fifty-four trillion, nine hundred ninety-three billion, four hundred seventy-five million, eight hundred seventeen thousand, two hundred eighty".