5111243827200 has 1296 divisors, whose sum is σ = 22227200180640. Its totient is φ = 1099361157120.

The previous prime is 5111243827177. The next prime is 5111243827229. The reversal of 5111243827200 is 27283421115.

5111243827200 is a `hidden beast` number, since 5 + 1 + 1 + 12 + 438 + 2 + 7 + 200 = 666.

It is a super-2 number, since 2×5111243827200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 932195659 + ... + 932201141.

Almost surely, 2^{5111243827200} is an apocalyptic number.

5111243827200 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 5111243827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113600090320).

5111243827200 is an abundant number, since it is smaller than the sum of its proper divisors (17115956353440).

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

5111243827200 is a wasteful number, since it uses less digits than its factorization.

5111243827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 5111243827200 in words is "five trillion, one hundred eleven billion, two hundred forty-three million, eight hundred twenty-seven thousand, two hundred".