6228125499960 has 288 divisors, whose sum is σ = 25357369040640. Its totient is φ = 1314065991168.

The previous prime is 6228125499949. The next prime is 6228125499977. The reversal of 6228125499960 is 699945218226.

6228125499960 is a `hidden beast` number, since 6 + 2 + 2 + 81 + 2 + 5 + 499 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13350232 + ... + 13808871.

It is an arithmetic number, because the mean of its divisors is an integer number (88046420280).

Almost surely, 2^{6228125499960} is an apocalyptic number.

6228125499960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6228125499960 is an abundant number, since it is smaller than the sum of its proper divisors (19129243540680).

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

6228125499960 is a wasteful number, since it uses less digits than its factorization.

6228125499960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159147 (or 27159133 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 6228125499960 in words is "six trillion, two hundred twenty-eight billion, one hundred twenty-five million, four hundred ninety-nine thousand, nine hundred sixty".