60145713027600 has 480 divisors, whose sum is σ = 210313180166400. Its totient is φ = 14646047539200.

The previous prime is 60145713027551. The next prime is 60145713027661. The reversal of 60145713027600 is 672031754106.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70813440 + ... + 71657760.

It is an arithmetic number, because the mean of its divisors is an integer number (438152458680).

Almost surely, 2^{60145713027600} is an apocalyptic number.

60145713027600 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 60145713027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105156590083200).

60145713027600 is an abundant number, since it is smaller than the sum of its proper divisors (150167467138800).

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

60145713027600 is a wasteful number, since it uses less digits than its factorization.

60145713027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844483 (or 844472 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 60145713027600 in words is "sixty trillion, one hundred forty-five billion, seven hundred thirteen million, twenty-seven thousand, six hundred".