71305625160 has 1280 divisors, whose sum is σ = 321995520000. Its totient is φ = 13991201280.

The previous prime is 71305625117. The next prime is 71305625177. The reversal of 71305625160 is 6152650317.

71305625160 is a `hidden beast` number, since 7 + 1 + 30 + 562 + 5 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 232265727 + ... + 232266033.

It is an arithmetic number, because the mean of its divisors is an integer number (251559000).

Almost surely, 2^71305625160 is an apocalyptic number.

71305625160 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 71305625160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160997760000).

71305625160 is an abundant number, since it is smaller than the sum of its proper divisors (250689894840).

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

71305625160 is a wasteful number, since it uses less digits than its factorization.

71305625160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 71305625160 in words is "seventy-one billion, three hundred five million, six hundred twenty-five thousand, one hundred sixty".