5011154400 has 144 divisors (see below), whose sum is σ = 18641556864. Its totient is φ = 1145402880.

The previous prime is 5011154389. The next prime is 5011154419. The reversal of 5011154400 is 44511105.

It is a super-2 number, since 2×5011154400² = 50223336841278720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132342 + ... + 165941.

It is an arithmetic number, because the mean of its divisors is an integer number (129455256).

Almost surely, 2^5011154400 is an apocalyptic number.

5011154400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5011154400 is an abundant number, since it is smaller than the sum of its proper divisors (13630402464).

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

5011154400 is a wasteful number, since it uses less digits than its factorization.

5011154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298313 (or 298300 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5011154400 is about 70789.5076971157. The cubic root of 5011154400 is about 1711.2465859766.

Adding to 5011154400 its reverse (44511105), we get a palindrome (5055665505).

It can be divided in two parts, 501115 and 4400, that added together give a triangular number (505515 = T₁₀₀₅).

The spelling of 5011154400 in words is "five billion, eleven million, one hundred fifty-four thousand, four hundred".