5081049600 has 480 divisors, whose sum is σ = 19143489024. Its totient is φ = 1175961600.

The previous prime is 5081049583. The next prime is 5081049601. The reversal of 5081049600 is 69401805.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×5081049600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5081049601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9714939 + ... + 9715461.

Almost surely, 2^5081049600 is an apocalyptic number.

5081049600 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 5081049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571744512).

5081049600 is an abundant number, since it is smaller than the sum of its proper divisors (14062439424).

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

5081049600 is a wasteful number, since it uses less digits than its factorization.

5081049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5081049600 is about 71281.4814660863. The cubic root of 5081049600 is about 1719.1659919147.

The spelling of 5081049600 in words is "five billion, eighty-one million, forty-nine thousand, six hundred".