71553055749560 has 256 divisors, whose sum is σ = 205117572464640. Its totient is φ = 21814247416320.

The previous prime is 71553055749491. The next prime is 71553055749563. The reversal of 71553055749560 is 6594755035517.

It is a junction number, because it is equal to n+sod(n) for n = 71553055749493 and 71553055749502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71553055749563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235372619 + ... + 235676421.

It is an arithmetic number, because the mean of its divisors is an integer number (801240517440).

Almost surely, 2^{71553055749560} is an apocalyptic number.

71553055749560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71553055749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558786232320).

71553055749560 is an abundant number, since it is smaller than the sum of its proper divisors (133564516715080).

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

71553055749560 is a wasteful number, since it uses less digits than its factorization.

71553055749560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305506 (or 305502 counting only the distinct ones).

The product of its (nonzero) digits is 99225000, while the sum is 62.

The spelling of 71553055749560 in words is "seventy-one trillion, five hundred fifty-three billion, fifty-five million, seven hundred forty-nine thousand, five hundred sixty".