71268993020160 has 2304 divisors, whose sum is σ = 295322614272000. Its totient is φ = 16328769896448.

The previous prime is 71268993020123. The next prime is 71268993020221. The reversal of 71268993020160 is 6102039986217.

71268993020160 is a `hidden beast` number, since 7 + 1 + 268 + 99 + 30 + 201 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×71268993020160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71268993020097 and 71268993020106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40795072407 + ... + 40795074153.

It is an arithmetic number, because the mean of its divisors is an integer number (128178218000).

Almost surely, 2^{71268993020160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71268993020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147661307136000).

71268993020160 is an abundant number, since it is smaller than the sum of its proper divisors (224053621251840).

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

71268993020160 is a wasteful number, since it uses less digits than its factorization.

71268993020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 71268993020160 in words is "seventy-one trillion, two hundred sixty-eight billion, nine hundred ninety-three million, twenty thousand, one hundred sixty".