54965687289912 has 768 divisors, whose sum is σ = 187544280268800. Its totient is φ = 14187895787520.

The previous prime is 54965687289899. The next prime is 54965687289913. The reversal of 54965687289912 is 21998278656945.

54965687289912 is a `hidden beast` number, since 5 + 49 + 6 + 568 + 7 + 2 + 8 + 9 + 9 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54965687289913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4645897837 + ... + 4645909667.

It is an arithmetic number, because the mean of its divisors is an integer number (244198281600).

Almost surely, 2^{54965687289912} 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 54965687289912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93772140134400).

54965687289912 is an abundant number, since it is smaller than the sum of its proper divisors (132578592978888).

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

54965687289912 is a wasteful number, since it uses less digits than its factorization.

54965687289912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12136 (or 12129 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 54965687289912 in words is "fifty-four trillion, nine hundred sixty-five billion, six hundred eighty-seven million, two hundred eighty-nine thousand, nine hundred twelve".