60145747200 has 1296 divisors, whose sum is σ = 273294508032. Its totient is φ = 12257280000.

The previous prime is 60145747199. The next prime is 60145747229. The reversal of 60145747200 is 274754106.

60145747200 is a `hidden beast` number, since 6 + 0 + 14 + 574 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314899105 + ... + 314899295.

It is an arithmetic number, because the mean of its divisors is an integer number (210875392).

Almost surely, 2^60145747200 is an apocalyptic number.

60145747200 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 60145747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136647254016).

60145747200 is an abundant number, since it is smaller than the sum of its proper divisors (213148760832).

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

60145747200 is a wasteful number, since it uses less digits than its factorization.

60145747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 60145747200 in words is "sixty billion, one hundred forty-five million, seven hundred forty-seven thousand, two hundred".