5007040796160 has 1920 divisors, whose sum is σ = 20178868469760. Its totient is φ = 1137954521088.

The previous prime is 5007040796143. The next prime is 5007040796167. The reversal of 5007040796160 is 616970407005.

It is a happy number.

5007040796160 is a `hidden beast` number, since 500 + 7 + 0 + 40 + 7 + 96 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007040796167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39425518017 + ... + 39425518143.

It is an arithmetic number, because the mean of its divisors is an integer number (10509827328).

Almost surely, 2^{5007040796160} 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 5007040796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089434234880).

5007040796160 is an abundant number, since it is smaller than the sum of its proper divisors (15171827673600).

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

5007040796160 is a wasteful number, since it uses less digits than its factorization.

5007040796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5007040796160 in words is "five trillion, seven billion, forty million, seven hundred ninety-six thousand, one hundred sixty".