71008428752800 has 432 divisors, whose sum is σ = 220201704751392. Its totient is φ = 22110512793600.

The previous prime is 71008428752759. The next prime is 71008428752897. The reversal of 71008428752800 is 825782480017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436724319 + ... + 436886881.

It is an arithmetic number, because the mean of its divisors is an integer number (509726168406).

Almost surely, 2^{71008428752800} is an apocalyptic number.

71008428752800 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 71008428752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110100852375696).

71008428752800 is an abundant number, since it is smaller than the sum of its proper divisors (149193275998592).

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

71008428752800 is a wasteful number, since it uses less digits than its factorization.

71008428752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163621 (or 163601 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 52.

The spelling of 71008428752800 in words is "seventy-one trillion, eight billion, four hundred twenty-eight million, seven hundred fifty-two thousand, eight hundred".