54966070658016 has 576 divisors, whose sum is σ = 190720564070400. Its totient is φ = 14666681622528.

The previous prime is 54966070657969. The next prime is 54966070658027. The reversal of 54966070658016 is 61085607066945.

54966070658016 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 607 + 0 + 6 + 5 + 8 + 0 + 16 = 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 95 ways as a sum of consecutive naturals, for example, 1975974540 + ... + 1976002356.

It is an arithmetic number, because the mean of its divisors is an integer number (331112090400).

Almost surely, 2^{54966070658016} is an apocalyptic number.

54966070658016 is a gapful number since it is divisible by the number (56) 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 54966070658016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95360282035200).

54966070658016 is an abundant number, since it is smaller than the sum of its proper divisors (135754493412384).

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

54966070658016 is a wasteful number, since it uses less digits than its factorization.

54966070658016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28591 (or 28580 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 54966070658016 in words is "fifty-four trillion, nine hundred sixty-six billion, seventy million, six hundred fifty-eight thousand, sixteen".