71985957120 has 1440 divisors, whose sum is σ = 328224669696. Its totient is φ = 14631321600.

The previous prime is 71985957101. The next prime is 71985957137. The reversal of 71985957120 is 2175958917.

71985957120 is a `hidden beast` number, since 7 + 19 + 8 + 59 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 566818497 + ... + 566818623.

Almost surely, 2^71985957120 is an apocalyptic number.

71985957120 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 71985957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164112334848).

71985957120 is an abundant number, since it is smaller than the sum of its proper divisors (256238712576).

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

71985957120 is a wasteful number, since it uses less digits than its factorization.

71985957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 71985957120 in words is "seventy-one billion, nine hundred eighty-five million, nine hundred fifty-seven thousand, one hundred twenty".