71380527183680 has 448 divisors, whose sum is σ = 200923959075840. Its totient is φ = 23812204953600.

The previous prime is 71380527183599. The next prime is 71380527183709. The reversal of 71380527183680 is 8638172508317.

It is a super-2 number, since 2×71380527183680² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9366290270 + ... + 9366297890.

It is an arithmetic number, because the mean of its divisors is an integer number (448490980080).

Almost surely, 2^{71380527183680} 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 71380527183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100461979537920).

71380527183680 is an abundant number, since it is smaller than the sum of its proper divisors (129543431892160).

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

71380527183680 is a wasteful number, since it uses less digits than its factorization.

71380527183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8898 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 71380527183680 in words is "seventy-one trillion, three hundred eighty billion, five hundred twenty-seven million, one hundred eighty-three thousand, six hundred eighty".