5960265600 has 384 divisors, whose sum is σ = 20641536000. Its totient is φ = 1509580800.

The previous prime is 5960265559. The next prime is 5960265611. The reversal of 5960265600 is 65620695.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21993465 + ... + 21993735.

It is an arithmetic number, because the mean of its divisors is an integer number (53754000).

Almost surely, 2^5960265600 is an apocalyptic number.

5960265600 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 5960265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320768000).

5960265600 is an abundant number, since it is smaller than the sum of its proper divisors (14681270400).

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

5960265600 is a wasteful number, since it uses less digits than its factorization.

5960265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 5960265600 is about 77202.7564274748. The cubic root of 5960265600 is about 1813.1004723089.

The spelling of 5960265600 in words is "five billion, nine hundred sixty million, two hundred sixty-five thousand, six hundred".