5146880094720 has 1440 divisors, whose sum is σ = 22700355678000. Its totient is φ = 1067947130880.

The previous prime is 5146880094691. The next prime is 5146880094739. The reversal of 5146880094720 is 274900886415.

It is a happy number.

5146880094720 is a `hidden beast` number, since 51 + 46 + 8 + 80 + 0 + 9 + 472 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 62324123904 + 5084555970816 = 249648^2 + 2254896^2 .

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

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, 895262406 + ... + 895268154.

Almost surely, 2^{5146880094720} 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 5146880094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350177839000).

5146880094720 is an abundant number, since it is smaller than the sum of its proper divisors (17553475583280).

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

5146880094720 is a wasteful number, since it uses less digits than its factorization.

5146880094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5146880094720 in words is "five trillion, one hundred forty-six billion, eight hundred eighty million, ninety-four thousand, seven hundred twenty".