71039877120 has 640 divisors, whose sum is σ = 262061882280. Its totient is φ = 18402508800.

The previous prime is 71039877101. The next prime is 71039877133. The reversal of 71039877120 is 2177893017.

71039877120 is a `hidden beast` number, since 71 + 0 + 398 + 77 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70815596544 + 224280576 = 266112^2 + 14976^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 703365070 + ... + 703365170.

Almost surely, 2^71039877120 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 71039877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131030941140).

71039877120 is an abundant number, since it is smaller than the sum of its proper divisors (191022005160).

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

71039877120 is an equidigital number, since it uses as much as digits as its factorization.

71039877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 71039877120 in words is "seventy-one billion, thirty-nine million, eight hundred seventy-seven thousand, one hundred twenty".