71332057888560 has 360 divisors, whose sum is σ = 293334893869680. Its totient is φ = 15446340209664.

The previous prime is 71332057888529. The next prime is 71332057888561. The reversal of 71332057888560 is 6588875023317.

71332057888560 is a `hidden beast` number, since 7 + 1 + 3 + 3 + 2 + 0 + 578 + 8 + 8 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71332057888561) 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, 52537147 + ... + 53877786.

It is an arithmetic number, because the mean of its divisors is an integer number (814819149638).

Almost surely, 2^{71332057888560} is an apocalyptic number.

71332057888560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71332057888560 is an abundant number, since it is smaller than the sum of its proper divisors (222002835981120).

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

71332057888560 is a wasteful number, since it uses less digits than its factorization.

71332057888560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106414985 (or 106414969 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 71332057888560 in words is "seventy-one trillion, three hundred thirty-two billion, fifty-seven million, eight hundred eighty-eight thousand, five hundred sixty".