5162687600 has 240 divisors, whose sum is σ = 15211169280. Its totient is φ = 1644364800.

The previous prime is 5162687597. The next prime is 5162687609. The reversal of 5162687600 is 67862615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162687609) 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, 2818685 + ... + 2820515.

It is an arithmetic number, because the mean of its divisors is an integer number (63379872).

Almost surely, 2^5162687600 is an apocalyptic number.

5162687600 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 5162687600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605584640).

5162687600 is an abundant number, since it is smaller than the sum of its proper divisors (10048481680).

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

5162687600 is a wasteful number, since it uses less digits than its factorization.

5162687600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 5162687600 is about 71851.8447919050. The cubic root of 5162687600 is about 1728.3244828893.

The spelling of 5162687600 in words is "five billion, one hundred sixty-two million, six hundred eighty-seven thousand, six hundred".