5214054343680 has 4224 divisors, whose sum is σ = 25460739279360. Its totient is φ = 1011316948992.

The previous prime is 5214054343613. The next prime is 5214054343711. The reversal of 5214054343680 is 863434504125.

5214054343680 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 0 + 543 + 43 + 68 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 121257077739 + ... + 121257077781.

It is an arithmetic number, because the mean of its divisors is an integer number (6027637140).

Almost surely, 2^{5214054343680} 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 5214054343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730369639680).

5214054343680 is an abundant number, since it is smaller than the sum of its proper divisors (20246684935680).

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

5214054343680 is a wasteful number, since it uses less digits than its factorization.

5214054343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5214054343680 in words is "five trillion, two hundred fourteen billion, fifty-four million, three hundred forty-three thousand, six hundred eighty".