5225065574400 has 1560 divisors, whose sum is σ = 22841286825984. Its totient is φ = 1155376742400.

The previous prime is 5225065574357. The next prime is 5225065574401. The reversal of 5225065574400 is 44755605225.

5225065574400 is a `hidden beast` number, since 5 + 2 + 2 + 50 + 6 + 557 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225065574401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1799883349 + ... + 1799886251.

Almost surely, 2^{5225065574400} is an apocalyptic number.

5225065574400 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 5225065574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420643412992).

5225065574400 is an abundant number, since it is smaller than the sum of its proper divisors (17616221251584).

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

5225065574400 is a wasteful number, since it uses less digits than its factorization.

5225065574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

It can be divided in two parts, 522506 and 5574400, that added together give a palindrome (6096906).

The spelling of 5225065574400 in words is "five trillion, two hundred twenty-five billion, sixty-five million, five hundred seventy-four thousand, four hundred".