71610412898304 has 1920 divisors, whose sum is σ = 268029656294400. Its totient is φ = 18582853386240.

The previous prime is 71610412898291. The next prime is 71610412898327. The reversal of 71610412898304 is 40389821401617.

71610412898304 is a `hidden beast` number, since 7 + 1 + 6 + 10 + 41 + 289 + 8 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83364857427 + ... + 83364858285.

It is an arithmetic number, because the mean of its divisors is an integer number (139598779320).

Almost surely, 2^{71610412898304} 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 71610412898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134014828147200).

71610412898304 is an abundant number, since it is smaller than the sum of its proper divisors (196419243396096).

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

71610412898304 is a wasteful number, since it uses less digits than its factorization.

71610412898304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 71610412898304 in words is "seventy-one trillion, six hundred ten billion, four hundred twelve million, eight hundred ninety-eight thousand, three hundred four".