71610507121200 has 120 divisors (see below), whose sum is σ = 229415848493568. Its totient is φ = 19094176938240.

The previous prime is 71610507121189. The next prime is 71610507121201. The reversal of 71610507121200 is 212170501617.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×71610507121200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71610507121201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8665449 + ... + 14775351.

Almost surely, 2^{71610507121200} is an apocalyptic number.

It is an amenable number.

71610507121200 is an abundant number, since it is smaller than the sum of its proper divisors (157805341372368).

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

71610507121200 is a wasteful number, since it uses less digits than its factorization.

71610507121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119691 (or 6119680 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

Adding to 71610507121200 its reverse (212170501617), we get a palindrome (71822677622817).

The spelling of 71610507121200 in words is "seventy-one trillion, six hundred ten billion, five hundred seven million, one hundred twenty-one thousand, two hundred".