71153121600 has 1008 divisors, whose sum is σ = 290557403136. Its totient is φ = 16982784000.

The previous prime is 71153121583. The next prime is 71153121619. The reversal of 71153121600 is 612135117.

71153121600 is a `hidden beast` number, since 7 + 1 + 1 + 5 + 31 + 21 + 600 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 543153535 + ... + 543153665.

It is an arithmetic number, because the mean of its divisors is an integer number (288251392).

Almost surely, 2^71153121600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71153121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145278701568).

71153121600 is an abundant number, since it is smaller than the sum of its proper divisors (219404281536).

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

71153121600 is a wasteful number, since it uses less digits than its factorization.

71153121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 71153121600 its reverse (612135117), we get a palindrome (71765256717).

The spelling of 71153121600 in words is "seventy-one billion, one hundred fifty-three million, one hundred twenty-one thousand, six hundred".