5011826400 has 864 divisors, whose sum is σ = 21838602240. Its totient is φ = 1097349120.

The previous prime is 5011826383. The next prime is 5011826419. The reversal of 5011826400 is 46281105.

5011826400 is a `hidden beast` number, since 5 + 0 + 1 + 18 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39463137 + ... + 39463263.

It is an arithmetic number, because the mean of its divisors is an integer number (25276160).

Almost surely, 2^5011826400 is an apocalyptic number.

5011826400 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 5011826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919301120).

5011826400 is an abundant number, since it is smaller than the sum of its proper divisors (16826775840).

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

5011826400 is a wasteful number, since it uses less digits than its factorization.

5011826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5011826400 is about 70794.2540041210. The cubic root of 5011826400 is about 1711.3230757575.

The spelling of 5011826400 in words is "five billion, eleven million, eight hundred twenty-six thousand, four hundred".