5375242456704 has 384 divisors, whose sum is σ = 16573523366400. Its totient is φ = 1733043465216.

The previous prime is 5375242456697. The next prime is 5375242456721. The reversal of 5375242456704 is 4076542425735.

5375242456704 is a `hidden beast` number, since 5 + 3 + 7 + 52 + 4 + 24 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137740107 + ... + 137779125.

It is an arithmetic number, because the mean of its divisors is an integer number (43160217100).

Almost surely, 2^{5375242456704} is an apocalyptic number.

5375242456704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5375242456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286761683200).

5375242456704 is an abundant number, since it is smaller than the sum of its proper divisors (11198280909696).

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

5375242456704 is a wasteful number, since it uses less digits than its factorization.

5375242456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39194 (or 39170 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 5375242456704 in words is "five trillion, three hundred seventy-five billion, two hundred forty-two million, four hundred fifty-six thousand, seven hundred four".