54630036006 has 256 divisors, whose sum is σ = 142786560000. Its totient is φ = 13831171200.

The previous prime is 54630035963. The next prime is 54630036031. The reversal of 54630036006 is 60063003645.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165045261 + ... + 165045591.

It is an arithmetic number, because the mean of its divisors is an integer number (557760000).

Almost surely, 2^54630036006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54630036006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71393280000).

54630036006 is an abundant number, since it is smaller than the sum of its proper divisors (88156523994).

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

54630036006 is a wasteful number, since it uses less digits than its factorization.

54630036006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 54630036006 in words is "fifty-four billion, six hundred thirty million, thirty-six thousand, six".