54857947632840 has 288 divisors, whose sum is σ = 201266304515640. Its totient is φ = 12939466383360.

The previous prime is 54857947632797. The next prime is 54857947632857. The reversal of 54857947632840 is 4823674975845.

54857947632840 is a `hidden beast` number, since 5 + 4 + 8 + 5 + 79 + 476 + 3 + 2 + 84 + 0 = 666.

54857947632840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38823641263044 + 16034306369796 = 6230862^2 + 4004286^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15406729 + ... + 18630168.

Almost surely, 2^{54857947632840} is an apocalyptic number.

It is an amenable number.

54857947632840 is an abundant number, since it is smaller than the sum of its proper divisors (146408356882800).

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

54857947632840 is a wasteful number, since it uses less digits than its factorization.

54857947632840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34036973 (or 34036955 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 54857947632840 in words is "fifty-four trillion, eight hundred fifty-seven billion, nine hundred forty-seven million, six hundred thirty-two thousand, eight hundred forty".