60071988916800 has 1680 divisors, whose sum is σ = 266756180817280. Its totient is φ = 12953198592000.

The previous prime is 60071988916787. The next prime is 60071988916847. The reversal of 60071988916800 is 861988917006.

60071988916800 is a `hidden beast` number, since 600 + 7 + 1 + 9 + 8 + 8 + 9 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4154061570 + ... + 4154076030.

Almost surely, 2^{60071988916800} is an apocalyptic number.

60071988916800 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 60071988916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133378090408640).

60071988916800 is an abundant number, since it is smaller than the sum of its proper divisors (206684191900480).

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

60071988916800 is a wasteful number, since it uses less digits than its factorization.

60071988916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 60071988916800 in words is "sixty trillion, seventy-one billion, nine hundred eighty-eight million, nine hundred sixteen thousand, eight hundred".