5011554400 has 144 divisors (see below), whose sum is σ = 12592162800. Its totient is φ = 1946869760.

The previous prime is 5011554391. The next prime is 5011554403. The reversal of 5011554400 is 44551105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011554403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4200204 + ... + 4201396.

It is an arithmetic number, because the mean of its divisors is an integer number (87445575).

Almost surely, 2^5011554400 is an apocalyptic number.

5011554400 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 5011554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296081400).

5011554400 is an abundant number, since it is smaller than the sum of its proper divisors (7580608400).

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

5011554400 is a wasteful number, since it uses less digits than its factorization.

5011554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5011554400 is about 70792.3329181911. The cubic root of 5011554400 is about 1711.2921164318.

The spelling of 5011554400 in words is "five billion, eleven million, five hundred fifty-four thousand, four hundred".