6225128864100 has 1152 divisors, whose sum is σ = 22021470535680. Its totient is φ = 1504192757760.

The previous prime is 6225128864099. The next prime is 6225128864177. The reversal of 6225128864100 is 14688215226.

6225128864100 is a `hidden beast` number, since 6 + 22 + 512 + 8 + 8 + 6 + 4 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24222291172 + ... + 24222291428.

It is an arithmetic number, because the mean of its divisors is an integer number (19115859840).

Almost surely, 2^{6225128864100} is an apocalyptic number.

6225128864100 is a gapful number since it is divisible by the number (60) 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 6225128864100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010735267840).

6225128864100 is an abundant number, since it is smaller than the sum of its proper divisors (15796341671580).

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

6225128864100 is a wasteful number, since it uses less digits than its factorization.

6225128864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6225128864100 in words is "six trillion, two hundred twenty-five billion, one hundred twenty-eight million, eight hundred sixty-four thousand, one hundred".