60201619994880 has 5184 divisors, whose sum is σ = 287559207936000. Its totient is φ = 11772038873088.

The previous prime is 60201619994837. The next prime is 60201619994909. The reversal of 60201619994880 is 8849991610206.

60201619994880 is a `hidden beast` number, since 6 + 0 + 2 + 0 + 1 + 61 + 9 + 99 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×60201619994880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 552308440266 + ... + 552308440374.

Almost surely, 2^{60201619994880} is an apocalyptic number.

60201619994880 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 60201619994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143779603968000).

60201619994880 is an abundant number, since it is smaller than the sum of its proper divisors (227357587941120).

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

60201619994880 is a wasteful number, since it uses less digits than its factorization.

60201619994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 60201619994880 in words is "sixty trillion, two hundred one billion, six hundred nineteen million, nine hundred ninety-four thousand, eight hundred eighty".