71961507561600 has 2688 divisors, whose sum is σ = 293561010892800. Its totient is φ = 17353792512000.

The previous prime is 71961507561511. The next prime is 71961507561607. The reversal of 71961507561600 is 616570516917.

71961507561600 is a `hidden beast` number, since 7 + 1 + 9 + 6 + 15 + 0 + 7 + 5 + 616 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71961507561607) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 114043593285 + ... + 114043593915.

It is an arithmetic number, because the mean of its divisors is an integer number (109211685600).

Almost surely, 2^{71961507561600} 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 71961507561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146780505446400).

71961507561600 is an abundant number, since it is smaller than the sum of its proper divisors (221599503331200).

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

71961507561600 is a wasteful number, since it uses less digits than its factorization.

71961507561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 71961507561600 in words is "seventy-one trillion, nine hundred sixty-one billion, five hundred seven million, five hundred sixty-one thousand, six hundred".