71875408268160 has 768 divisors, whose sum is σ = 309638787494400. Its totient is φ = 15563993702400.

The previous prime is 71875408268149. The next prime is 71875408268161. The reversal of 71875408268160 is 6186280457817.

It is a happy number.

71875408268160 is a `hidden beast` number, since 7 + 1 + 8 + 7 + 5 + 408 + 2 + 68 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71875408268161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18946710 + ... + 22421610.

It is an arithmetic number, because the mean of its divisors is an integer number (403175504550).

Almost surely, 2^{71875408268160} is an apocalyptic number.

71875408268160 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 71875408268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154819393747200).

71875408268160 is an abundant number, since it is smaller than the sum of its proper divisors (237763379226240).

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

71875408268160 is a wasteful number, since it uses less digits than its factorization.

71875408268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474961 (or 3474937 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 71875408268160 in words is "seventy-one trillion, eight hundred seventy-five billion, four hundred eight million, two hundred sixty-eight thousand, one hundred sixty".