5962875600 has 480 divisors, whose sum is σ = 22191258240. Its totient is φ = 1354752000.

The previous prime is 5962875593. The next prime is 5962875623. The reversal of 5962875600 is 65782695.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5962875600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14163390 + ... + 14163810.

It is an arithmetic number, because the mean of its divisors is an integer number (46231788).

Almost surely, 2^5962875600 is an apocalyptic number.

5962875600 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 5962875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095629120).

5962875600 is an abundant number, since it is smaller than the sum of its proper divisors (16228382640).

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

5962875600 is a wasteful number, since it uses less digits than its factorization.

5962875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 5962875600 is about 77219.6581189013. The cubic root of 5962875600 is about 1813.3650858891.

The spelling of 5962875600 in words is "five billion, nine hundred sixty-two million, eight hundred seventy-five thousand, six hundred".