54857975604480 has 720 divisors, whose sum is σ = 218777448415680. Its totient is φ = 13043622150144.

The previous prime is 54857975604457. The next prime is 54857975604503. The reversal of 54857975604480 is 8440657975845.

54857975604480 is a `hidden beast` number, since 5 + 4 + 8 + 5 + 7 + 9 + 7 + 5 + 604 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54857975604457) and next prime (54857975604503).

It is a tau number, because it is divible by the number of its divisors (720).

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 = 54857975604399 and 54857975604408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32669587 + ... + 34307693.

It is an arithmetic number, because the mean of its divisors is an integer number (303857567244).

Almost surely, 2^{54857975604480} 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 54857975604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109388724207840).

54857975604480 is an abundant number, since it is smaller than the sum of its proper divisors (163919472811200).

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

54857975604480 is a wasteful number, since it uses less digits than its factorization.

54857975604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638176 (or 1638153 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 54857975604480 in words is "fifty-four trillion, eight hundred fifty-seven billion, nine hundred seventy-five million, six hundred four thousand, four hundred eighty".