5082201600 has 720 divisors, whose sum is σ = 20332345968. Its totient is φ = 1114767360.

The previous prime is 5082201587. The next prime is 5082201623. The reversal of 5082201600 is 61022805.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69619164 + ... + 69619236.

Almost surely, 2^5082201600 is an apocalyptic number.

5082201600 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 5082201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166172984).

5082201600 is an abundant number, since it is smaller than the sum of its proper divisors (15250144368).

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

5082201600 is a wasteful number, since it uses less digits than its factorization.

5082201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5082201600 is about 71289.5616482525. The cubic root of 5082201600 is about 1719.2959079572.

The spelling of 5082201600 in words is "five billion, eighty-two million, two hundred one thousand, six hundred".