71079652740096 has 3168 divisors, whose sum is σ = 293920407585792. Its totient is φ = 16032265666560.

The previous prime is 71079652740053. The next prime is 71079652740139. The reversal of 71079652740096 is 69004725697017.

71079652740096 is a `hidden beast` number, since 7 + 1 + 0 + 7 + 96 + 52 + 7 + 400 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (71079652740053) and next prime (71079652740139).

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 201358789456 + ... + 201358789808.

Almost surely, 2^{71079652740096} 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 71079652740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146960203792896).

71079652740096 is an abundant number, since it is smaller than the sum of its proper divisors (222840754845696).

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

71079652740096 is a wasteful number, since it uses less digits than its factorization.

71079652740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 71079652740096 in words is "seventy-one trillion, seventy-nine billion, six hundred fifty-two million, seven hundred forty thousand, ninety-six".