60142816915200 has 864 divisors, whose sum is σ = 221704147526400. Its totient is φ = 15953508679680.

The previous prime is 60142816915199. The next prime is 60142816915243. The reversal of 60142816915200 is 251961824106.

60142816915200 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 28 + 16 + 91 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×60142816915200³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent 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, 30390507811 + ... + 30390509789.

It is an arithmetic number, because the mean of its divisors is an integer number (256602022600).

Almost surely, 2^{60142816915200} is an apocalyptic number.

60142816915200 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 60142816915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110852073763200).

60142816915200 is an abundant number, since it is smaller than the sum of its proper divisors (161561330611200).

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

60142816915200 is a wasteful number, since it uses less digits than its factorization.

60142816915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 60142816915200 in words is "sixty trillion, one hundred forty-two billion, eight hundred sixteen million, nine hundred fifteen thousand, two hundred".