5005700387052 has 192 divisors, whose sum is σ = 12484547712000. Its totient is φ = 1556542586880.

The previous prime is 5005700387029. The next prime is 5005700387053. The reversal of 5005700387052 is 2507830075005.

It is a junction number, because it is equal to n+sod(n) for n = 5005700386995 and 5005700387013.

It is not an unprimeable number, because it can be changed into a prime (5005700387053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4771877824 + ... + 4771878872.

It is an arithmetic number, because the mean of its divisors is an integer number (65023686000).

Almost surely, 2^{5005700387052} 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 5005700387052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242273856000).

5005700387052 is an abundant number, since it is smaller than the sum of its proper divisors (7478847324948).

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

5005700387052 is a wasteful number, since it uses less digits than its factorization.

5005700387052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 5005700387052 in words is "five trillion, five billion, seven hundred million, three hundred eighty-seven thousand, fifty-two".