54914111751240 has 768 divisors, whose sum is σ = 227460615782400. Its totient is φ = 11185329512448.

The previous prime is 54914111751157. The next prime is 54914111751241. The reversal of 54914111751240 is 4215711141945.

54914111751240 is a `hidden beast` number, since 5 + 4 + 9 + 14 + 1 + 117 + 512 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54914111751241) 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, 1503365857 + ... + 1503402383.

It is an arithmetic number, because the mean of its divisors is an integer number (296172676800).

Almost surely, 2^{54914111751240} 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 54914111751240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113730307891200).

54914111751240 is an abundant number, since it is smaller than the sum of its proper divisors (172546504031160).

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

54914111751240 is a wasteful number, since it uses less digits than its factorization.

54914111751240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38434 (or 38427 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 54914111751240 in words is "fifty-four trillion, nine hundred fourteen billion, one hundred eleven million, seven hundred fifty-one thousand, two hundred forty".