71295120153600 has 2112 divisors, whose sum is σ = 287063824072704. Its totient is φ = 15261696000000.

The previous prime is 71295120153571. The next prime is 71295120153637. The reversal of 71295120153600 is 635102159217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103176729255 + ... + 103176729945.

Almost surely, 2^{71295120153600} is an apocalyptic number.

71295120153600 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 71295120153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143531912036352).

71295120153600 is an abundant number, since it is smaller than the sum of its proper divisors (215768703919104).

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

71295120153600 is a wasteful number, since it uses less digits than its factorization.

71295120153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 71295120153600 in words is "seventy-one trillion, two hundred ninety-five billion, one hundred twenty million, one hundred fifty-three thousand, six hundred".