54905682081600 has 2688 divisors, whose sum is σ = 249173291888640. Its totient is φ = 11474141184000.

The previous prime is 54905682081599. The next prime is 54905682081643. The reversal of 54905682081600 is 618028650945.

54905682081600 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 5 + 6 + 8 + 20 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69765796407 + ... + 69765797193.

It is an arithmetic number, because the mean of its divisors is an integer number (92698397280).

Almost surely, 2^{54905682081600} is an apocalyptic number.

54905682081600 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 54905682081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124586645944320).

54905682081600 is an abundant number, since it is smaller than the sum of its proper divisors (194267609807040).

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

54905682081600 is a wasteful number, since it uses less digits than its factorization.

54905682081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 54905682081600 in words is "fifty-four trillion, nine hundred five billion, six hundred eighty-two million, eighty-one thousand, six hundred".