71220005625600 has 648 divisors, whose sum is σ = 275746774670640. Its totient is φ = 17433106513920.

The previous prime is 71220005625541. The next prime is 71220005625607. The reversal of 71220005625600 is 652650002217.

71220005625600 is a `hidden beast` number, since 7 + 1 + 2 + 20 + 0 + 0 + 5 + 6 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71220005625607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133769524 + ... + 134300876.

Almost surely, 2^{71220005625600} 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 71220005625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137873387335320).

71220005625600 is an abundant number, since it is smaller than the sum of its proper divisors (204526769045040).

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

71220005625600 is a wasteful number, since it uses less digits than its factorization.

71220005625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531577 (or 531555 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 71220005625600 its reverse (652650002217), we get a palindrome (71872655627817).

The spelling of 71220005625600 in words is "seventy-one trillion, two hundred twenty billion, five million, six hundred twenty-five thousand, six hundred".