5249780805024 has 720 divisors, whose sum is σ = 19515592293120. Its totient is φ = 1375135211520.

The previous prime is 5249780805023. The next prime is 5249780805067. The reversal of 5249780805024 is 4205080879425.

5249780805024 is a `hidden beast` number, since 5 + 2 + 497 + 8 + 0 + 80 + 50 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5249780805023) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74772624 + ... + 74842800.

It is an arithmetic number, because the mean of its divisors is an integer number (27104989296).

Almost surely, 2^{5249780805024} is an apocalyptic number.

5249780805024 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 5249780805024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757796146560).

5249780805024 is an abundant number, since it is smaller than the sum of its proper divisors (14265811488096).

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

5249780805024 is a wasteful number, since it uses less digits than its factorization.

5249780805024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70263 (or 70239 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5249780805024 in words is "five trillion, two hundred forty-nine billion, seven hundred eighty million, eight hundred five thousand, twenty-four".