54515142870048 has 288 divisors, whose sum is σ = 192515279523840. Its totient is φ = 14279978903040.

The previous prime is 54515142869903. The next prime is 54515142870091. The reversal of 54515142870048 is 84007824151545.

54515142870048 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 514 + 2 + 87 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 54515142869976 and 54515142870003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21767790 + ... + 24142637.

It is an arithmetic number, because the mean of its divisors is an integer number (668455831680).

Almost surely, 2^{54515142870048} is an apocalyptic number.

It is an amenable number.

54515142870048 is an abundant number, since it is smaller than the sum of its proper divisors (138000136653792).

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

54515142870048 is a wasteful number, since it uses less digits than its factorization.

54515142870048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45910500 (or 45910489 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 54515142870048 in words is "fifty-four trillion, five hundred fifteen billion, one hundred forty-two million, eight hundred seventy thousand, forty-eight".