5111933657600 has 1440 divisors, whose sum is σ = 16763339577600. Its totient is φ = 1510096896000.

The previous prime is 5111933657563. The next prime is 5111933657849. The reversal of 5111933657600 is 67563391115.

It is a super-2 number, since 2×5111933657600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22322854286 + ... + 22322854514.

It is an arithmetic number, because the mean of its divisors is an integer number (11641208040).

Almost surely, 2^{5111933657600} is an apocalyptic number.

5111933657600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5111933657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381669788800).

5111933657600 is an abundant number, since it is smaller than the sum of its proper divisors (11651405920000).

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

5111933657600 is a wasteful number, since it uses less digits than its factorization.

5111933657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 47.

The spelling of 5111933657600 in words is "five trillion, one hundred eleven billion, nine hundred thirty-three million, six hundred fifty-seven thousand, six hundred".