54509943140352 has 2496 divisors, whose sum is σ = 208830711398400. Its totient is φ = 13854010245120.

The previous prime is 54509943140347. The next prime is 54509943140399. The reversal of 54509943140352 is 25304134990545.

54509943140352 is a `hidden beast` number, since 5 + 4 + 50 + 99 + 431 + 40 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151838281549 + ... + 151838281907.

It is an arithmetic number, because the mean of its divisors is an integer number (83666150400).

Almost surely, 2^{54509943140352} 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 54509943140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104415355699200).

54509943140352 is an abundant number, since it is smaller than the sum of its proper divisors (154320768258048).

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

54509943140352 is a wasteful number, since it uses less digits than its factorization.

54509943140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 54509943140352 in words is "fifty-four trillion, five hundred nine billion, nine hundred forty-three million, one hundred forty thousand, three hundred fifty-two".