54311064243840 has 256 divisors, whose sum is σ = 192676092681600. Its totient is φ = 14458524549120.

The previous prime is 54311064243829. The next prime is 54311064243871. The reversal of 54311064243840 is 4834246011345.

54311064243840 is a `hidden beast` number, since 5 + 4 + 3 + 110 + 64 + 2 + 438 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7596955 + ... + 12897125.

Almost surely, 2^{54311064243840} 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 54311064243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96338046340800).

54311064243840 is an abundant number, since it is smaller than the sum of its proper divisors (138365028437760).

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

54311064243840 is a wasteful number, since it uses less digits than its factorization.

54311064243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300792 (or 5300774 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 54311064243840 in words is "fifty-four trillion, three hundred eleven billion, sixty-four million, two hundred forty-three thousand, eight hundred forty".