5040921600 has 1320 divisors, whose sum is σ = 23219170128. Its totient is φ = 1061683200.

The previous prime is 5040921593. The next prime is 5040921601. The reversal of 5040921600 is 61290405.

5040921600 is a `hidden beast` number, since 50 + 4 + 0 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040921601) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 296524792 + ... + 296524808.

Almost surely, 2^5040921600 is an apocalyptic number.

5040921600 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 5040921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609585064).

5040921600 is an abundant number, since it is smaller than the sum of its proper divisors (18178248528).

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

5040921600 is a wasteful number, since it uses less digits than its factorization.

5040921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5040921600 is about 70999.4478851772. The cubic root of 5040921600 is about 1714.6282743999.

The spelling of 5040921600 in words is "five billion, forty million, nine hundred twenty-one thousand, six hundred".