6125454226080 has 2304 divisors, whose sum is σ = 26594865561600. Its totient is φ = 1327353495552.

The previous prime is 6125454226079. The next prime is 6125454226081. The reversal of 6125454226080 is 806224545216.

6125454226080 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 4 + 542 + 26 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6125454226079) and next prime (6125454226081).

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

It is not an unprimeable number, because it can be changed into a prime (6125454226081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48231922977 + ... + 48231923103.

It is an arithmetic number, because the mean of its divisors is an integer number (11542910400).

Almost surely, 2^{6125454226080} is an apocalyptic number.

6125454226080 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 6125454226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297432780800).

6125454226080 is an abundant number, since it is smaller than the sum of its proper divisors (20469411335520).

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

6125454226080 is a wasteful number, since it uses less digits than its factorization.

6125454226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 6125454226080 in words is "six trillion, one hundred twenty-five billion, four hundred fifty-four million, two hundred twenty-six thousand, eighty".