54860654100672 has 1008 divisors, whose sum is σ = 192966267985920. Its totient is φ = 14829429694464.

The previous prime is 54860654100671. The next prime is 54860654100701. The reversal of 54860654100672 is 27600145606845.

54860654100672 is a `hidden beast` number, since 5 + 48 + 60 + 65 + 410 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×54860654100672² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54860654100671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33718901523 + ... + 33718903149.

Almost surely, 2^{54860654100672} 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 54860654100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96483133992960).

54860654100672 is an abundant number, since it is smaller than the sum of its proper divisors (138105613885248).

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

54860654100672 is a wasteful number, since it uses less digits than its factorization.

54860654100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 54860654100672 in words is "fifty-four trillion, eight hundred sixty billion, six hundred fifty-four million, one hundred thousand, six hundred seventy-two".