5920825600 has 432 divisors, whose sum is σ = 16880169600. Its totient is φ = 2043740160.

The previous prime is 5920825591. The next prime is 5920825601. The reversal of 5920825600 is 65280295.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5920825600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920825601) 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, 81107164 + ... + 81107236.

Almost surely, 2^5920825600 is an apocalyptic number.

5920825600 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 5920825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440084800).

5920825600 is an abundant number, since it is smaller than the sum of its proper divisors (10959344000).

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

5920825600 is a wasteful number, since it uses less digits than its factorization.

5920825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5920825600 is about 76946.9011721720. The cubic root of 5920825600 is about 1809.0924298348.

The spelling of 5920825600 in words is "five billion, nine hundred twenty million, eight hundred twenty-five thousand, six hundred".