5030294075136 has 1152 divisors, whose sum is σ = 17801441280000. Its totient is φ = 1384030126080.

The previous prime is 5030294075033. The next prime is 5030294075159. The reversal of 5030294075136 is 6315704920305.

5030294075136 is a `hidden beast` number, since 503 + 0 + 2 + 9 + 4 + 0 + 7 + 5 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5030294075136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5030294075091 and 5030294075100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6996236185 + ... + 6996236903.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640000).

Almost surely, 2^{5030294075136} 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 5030294075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640000).

5030294075136 is an abundant number, since it is smaller than the sum of its proper divisors (12771147204864).

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

5030294075136 is a wasteful number, since it uses less digits than its factorization.

5030294075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5030294075136 in words is "five trillion, thirty billion, two hundred ninety-four million, seventy-five thousand, one hundred thirty-six".