54657740172672 has 1792 divisors, whose sum is σ = 207074988288000. Its totient is φ = 13981392322560.

The previous prime is 54657740172649. The next prime is 54657740172689. The reversal of 54657740172672 is 27627104775645.

54657740172672 is a `hidden beast` number, since 5 + 4 + 6 + 577 + 40 + 17 + 2 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 39578377422 + ... + 39578378802.

It is an arithmetic number, because the mean of its divisors is an integer number (115555239000).

Almost surely, 2^{54657740172672} is an apocalyptic number.

54657740172672 is a gapful number since it is divisible by the number (52) 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 54657740172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103537494144000).

54657740172672 is an abundant number, since it is smaller than the sum of its proper divisors (152417248115328).

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

54657740172672 is a wasteful number, since it uses less digits than its factorization.

54657740172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 54657740172672 in words is "fifty-four trillion, six hundred fifty-seven billion, seven hundred forty million, one hundred seventy-two thousand, six hundred seventy-two".