71988560921376 has 240 divisors, whose sum is σ = 231705975428928. Its totient is φ = 21744568972800.

The previous prime is 71988560921323. The next prime is 71988560921377. The reversal of 71988560921376 is 67312906588917.

71988560921376 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 8 + 5 + 609 + 2 + 1 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (71988560921377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4807986 + ... + 12926478.

Almost surely, 2^{71988560921376} 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 71988560921376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115852987714464).

71988560921376 is an abundant number, since it is smaller than the sum of its proper divisors (159717414507552).

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

71988560921376 is a wasteful number, since it uses less digits than its factorization.

71988560921376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118837 (or 8118820 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 71988560921376 in words is "seventy-one trillion, nine hundred eighty-eight billion, five hundred sixty million, nine hundred twenty-one thousand, three hundred seventy-six".