54006014000061 has 20 divisors (see below), whose sum is σ = 80676168619200. Its totient is φ = 36003778126056.

The previous prime is 54006014000039. The next prime is 54006014000123. The reversal of 54006014000061 is 16000041060045.

54006014000061 is a `hidden beast` number, since 5 + 400 + 60 + 140 + 0 + 0 + 0 + 61 = 666.

It is not a de Polignac number, because 54006014000061 - 2¹⁵ = 54006013967293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54006013999989 and 54006014000034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54006014000761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11049070 + ... + 15168848.

It is an arithmetic number, because the mean of its divisors is an integer number (4033808430960).

Almost surely, 2^{54006014000061} is an apocalyptic number.

It is an amenable number.

54006014000061 is a deficient number, since it is larger than the sum of its proper divisors (26670154619139).

54006014000061 is a wasteful number, since it uses less digits than its factorization.

54006014000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281630 (or 4281621 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 54006014000061 in words is "fifty-four trillion, six billion, fourteen million, sixty-one", and thus it is an aban number.