71748001110000 has 400 divisors, whose sum is σ = 236923639666560. Its totient is φ = 18696912000000.

The previous prime is 71748001109969. The next prime is 71748001110131. The reversal of 71748001110000 is 1110084717.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×71748001110000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 71748001110000.

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 79 ways as a sum of consecutive naturals, for example, 399000111 + ... + 399179889.

Almost surely, 2^{71748001110000} 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 71748001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118461819833280).

71748001110000 is an abundant number, since it is smaller than the sum of its proper divisors (165175638556560).

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

71748001110000 is a wasteful number, since it uses less digits than its factorization.

71748001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180114 (or 180093 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 30.

Adding to 71748001110000 its reverse (1110084717), we get a palindrome (71749111194717).

The spelling of 71748001110000 in words is "seventy-one trillion, seven hundred forty-eight billion, one million, one hundred ten thousand".