71157242983680 has 2160 divisors, whose sum is σ = 308890185246720. Its totient is φ = 15575919722496.

The previous prime is 71157242983639. The next prime is 71157242983747. The reversal of 71157242983680 is 8638924275117.

71157242983680 is a `hidden beast` number, since 7 + 1 + 1 + 5 + 72 + 429 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18710816659 + ... + 18710820461.

It is an arithmetic number, because the mean of its divisors is an integer number (143004715392).

It is a 2-persistent number, because it is pandigital, and so is 2⋅71157242983680 = 142314485967360, but 3⋅71157242983680 = 213471728951040 is not.

Almost surely, 2^{71157242983680} is an apocalyptic number.

71157242983680 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 71157242983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154445092623360).

71157242983680 is an abundant number, since it is smaller than the sum of its proper divisors (237732942263040).

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

71157242983680 is a wasteful number, since it uses less digits than its factorization.

71157242983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 71157242983680 in words is "seventy-one trillion, one hundred fifty-seven billion, two hundred forty-two million, nine hundred eighty-three thousand, six hundred eighty".