5479925448600 has 960 divisors, whose sum is σ = 21223932206400. Its totient is φ = 1303322296320.

The previous prime is 5479925448563. The next prime is 5479925448611. The reversal of 5479925448600 is 68445299745.

5479925448600 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 9 + 2 + 544 + 86 + 0 + 0 = 666.

It is a super-2 number, since 2×5479925448600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 690423832 + ... + 690431768.

It is an arithmetic number, because the mean of its divisors is an integer number (22108262715).

Almost surely, 2^{5479925448600} is an apocalyptic number.

5479925448600 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 5479925448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611966103200).

5479925448600 is an abundant number, since it is smaller than the sum of its proper divisors (15744006757800).

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

5479925448600 is a wasteful number, since it uses less digits than its factorization.

5479925448600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5479925448600 in words is "five trillion, four hundred seventy-nine billion, nine hundred twenty-five million, four hundred forty-eight thousand, six hundred".