5300941148160 has 1664 divisors, whose sum is σ = 20867772186624. Its totient is φ = 1123685498880.

The previous prime is 5300941148147. The next prime is 5300941148171. The reversal of 5300941148160 is 618411490035.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41739694017 + ... + 41739694143.

Almost surely, 2^{5300941148160} 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 5300941148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433886093312).

5300941148160 is an abundant number, since it is smaller than the sum of its proper divisors (15566831038464).

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

5300941148160 is a wasteful number, since it uses less digits than its factorization.

5300941148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 5300941148160 in words is "five trillion, three hundred billion, nine hundred forty-one million, one hundred forty-eight thousand, one hundred sixty".