54912978394560 has 2016 divisors, whose sum is σ = 236851021173312. Its totient is φ = 11535612641280.

The previous prime is 54912978394541. The next prime is 54912978394579. The reversal of 54912978394560 is 6549387921945.

54912978394560 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 2 + 97 + 83 + 9 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54912978394541) and next prime (54912978394579).

It is a super-3 number, since 3×54912978394560³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68899596082 + ... + 68899596878.

It is an arithmetic number, because the mean of its divisors is an integer number (117485625582).

It is a 1-persistent number, because it is pandigital, but 2⋅54912978394560 = 109825956789120 is not.

Almost surely, 2^{54912978394560} 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 54912978394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118425510586656).

54912978394560 is an abundant number, since it is smaller than the sum of its proper divisors (181938042778752).

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

54912978394560 is a wasteful number, since it uses less digits than its factorization.

54912978394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 54912978394560 in words is "fifty-four trillion, nine hundred twelve billion, nine hundred seventy-eight million, three hundred ninety-four thousand, five hundred sixty".