71475112800 has 2880 divisors, whose sum is σ = 365880582144. Its totient is φ = 13138329600.

The previous prime is 71475112789. The next prime is 71475112837. The reversal of 71475112800 is 821157417.

71475112800 is a `hidden beast` number, since 71 + 475 + 112 + 8 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2305648785 + ... + 2305648815.

Almost surely, 2^71475112800 is an apocalyptic number.

71475112800 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 71475112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182940291072).

71475112800 is an abundant number, since it is smaller than the sum of its proper divisors (294405469344).

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

71475112800 is a wasteful number, since it uses less digits than its factorization.

71475112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 71475112800 in words is "seventy-one billion, four hundred seventy-five million, one hundred twelve thousand, eight hundred".