6045151257600 has 3168 divisors, whose sum is σ = 27125449026816. Its totient is φ = 1155111321600.

The previous prime is 6045151257571. The next prime is 6045151257637. The reversal of 6045151257600 is 67521515406.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82810291164 + ... + 82810291236.

Almost surely, 2^{6045151257600} is an apocalyptic number.

6045151257600 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 6045151257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562724513408).

6045151257600 is an abundant number, since it is smaller than the sum of its proper divisors (21080297769216).

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

6045151257600 is a wasteful number, since it uses less digits than its factorization.

6045151257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 6045151257600 in words is "six trillion, forty-five billion, one hundred fifty-one million, two hundred fifty-seven thousand, six hundred".