71100919116000 has 2304 divisors, whose sum is σ = 273833126461440. Its totient is φ = 17440980480000.

The previous prime is 71100919115971. The next prime is 71100919116103. The reversal of 71100919116000 is 61191900117.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 313219907887 + ... + 313219908113.

It is an arithmetic number, because the mean of its divisors is an integer number (118851183360).

Almost surely, 2^{71100919116000} 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 71100919116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136916563230720).

71100919116000 is an abundant number, since it is smaller than the sum of its proper divisors (202732207345440).

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

71100919116000 is a wasteful number, since it uses less digits than its factorization.

71100919116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 36.

The spelling of 71100919116000 in words is "seventy-one trillion, one hundred billion, nine hundred nineteen million, one hundred sixteen thousand".