71897699260800 has 576 divisors, whose sum is σ = 304056280819200. Its totient is φ = 16433758586880.

The previous prime is 71897699260787. The next prime is 71897699260817. The reversal of 71897699260800 is 806299679817.

71897699260800 is a `hidden beast` number, since 7 + 1 + 8 + 9 + 7 + 6 + 9 + 9 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1161160 + ... + 12047559.

Almost surely, 2^{71897699260800} is an apocalyptic number.

71897699260800 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 71897699260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152028140409600).

71897699260800 is an abundant number, since it is smaller than the sum of its proper divisors (232158581558400).

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

71897699260800 is a wasteful number, since it uses less digits than its factorization.

71897699260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208765 (or 13208736 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 71897699260800 in words is "seventy-one trillion, eight hundred ninety-seven billion, six hundred ninety-nine million, two hundred sixty thousand, eight hundred".