5299101780480 has 1440 divisors, whose sum is σ = 20296837834416. Its totient is φ = 1276398010368.

The previous prime is 5299101780407. The next prime is 5299101780499. The reversal of 5299101780480 is 840871019925.

It is a happy number.

5299101780480 is a `hidden beast` number, since 5 + 2 + 9 + 91 + 0 + 1 + 78 + 0 + 480 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 763428577536 + 4535673202944 = 873744^2 + 2129712^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5299101780480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33752240562 + ... + 33752240718.

Almost surely, 2^{5299101780480} 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 5299101780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148418917208).

5299101780480 is an abundant number, since it is smaller than the sum of its proper divisors (14997736053936).

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

5299101780480 is a wasteful number, since it uses less digits than its factorization.

5299101780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 5299101780480 in words is "five trillion, two hundred ninety-nine billion, one hundred one million, seven hundred eighty thousand, four hundred eighty".