71005903755264 has 1344 divisors, whose sum is σ = 226818273820320. Its totient is φ = 22181322424320.

The previous prime is 71005903755257. The next prime is 71005903755287. The reversal of 71005903755264 is 46255730950017.

It is a happy number.

71005903755264 is a `hidden beast` number, since 7 + 1 + 0 + 0 + 5 + 9 + 0 + 375 + 5 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 71005903755264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 242340968302 + ... + 242340968594.

Almost surely, 2^{71005903755264} is an apocalyptic number.

71005903755264 is a gapful number since it is divisible by the number (74) 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 71005903755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113409136910160).

71005903755264 is an abundant number, since it is smaller than the sum of its proper divisors (155812370065056).

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

71005903755264 is a wasteful number, since it uses less digits than its factorization.

71005903755264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 71005903755264 in words is "seventy-one trillion, five billion, nine hundred three million, seven hundred fifty-five thousand, two hundred sixty-four".