5011166400 has 336 divisors, whose sum is σ = 18066105600. Its totient is φ = 1210429440.

The previous prime is 5011166359. The next prime is 5011166431. The reversal of 5011166400 is 46611105.

It is a super-2 number, since 2×5011166400² = 50223577376977920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096406 + ... + 2098794.

Almost surely, 2^5011166400 is an apocalyptic number.

5011166400 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 5011166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9033052800).

5011166400 is an abundant number, since it is smaller than the sum of its proper divisors (13054939200).

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

5011166400 is a wasteful number, since it uses less digits than its factorization.

5011166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5011166400 is about 70789.5924553885. The cubic root of 5011166400 is about 1711.2479519255.

Adding to 5011166400 its reverse (46611105), we get a palindrome (5057777505).

The spelling of 5011166400 in words is "five billion, eleven million, one hundred sixty-six thousand, four hundred".