61071572110000 has 200 divisors, whose sum is σ = 151909037035184. Its totient is φ = 23760190080000.

The previous prime is 61071572109941. The next prime is 61071572110061. The reversal of 61071572110000 is 1127517016.

It is a happy number.

61071572110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1132543039 + ... + 1132596961.

Almost surely, 2^{61071572110000} 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 61071572110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75954518517592).

61071572110000 is an abundant number, since it is smaller than the sum of its proper divisors (90837464925184).

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

61071572110000 is a wasteful number, since it uses less digits than its factorization.

61071572110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57049 (or 57028 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 31.

Adding to 61071572110000 its reverse (1127517016), we get a palindrome (61072699627016).

The spelling of 61071572110000 in words is "sixty-one trillion, seventy-one billion, five hundred seventy-two million, one hundred ten thousand".