54038963284992 has 3564 divisors, whose sum is σ = 215741143710144. Its totient is φ = 12962514862080.

The previous prime is 54038963284939. The next prime is 54038963284993. The reversal of 54038963284992 is 29948236983045.

It is a happy number.

54038963284992 is a `hidden beast` number, since 5 + 40 + 3 + 8 + 96 + 3 + 2 + 8 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54038963284992.

It is not an unprimeable number, because it can be changed into a prime (54038963284993) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1460512521198 + ... + 1460512521234.

Almost surely, 2^{54038963284992} 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 54038963284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107870571855072).

54038963284992 is an abundant number, since it is smaller than the sum of its proper divisors (161702180425152).

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

54038963284992 is a wasteful number, since it uses less digits than its factorization.

54038963284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 54038963284992 in words is "fifty-four trillion, thirty-eight billion, nine hundred sixty-three million, two hundred eighty-four thousand, nine hundred ninety-two".