71995335604920 has 1536 divisors, whose sum is σ = 302595188313600. Its totient is φ = 14436683218944.

The previous prime is 71995335604903. The next prime is 71995335604957. The reversal of 71995335604920 is 2940653359917.

71995335604920 is a `hidden beast` number, since 7 + 1 + 9 + 9 + 5 + 3 + 3 + 560 + 49 + 20 = 666.

It is a super-2 number, since 2×71995335604920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59158040152 + ... + 59158041368.

It is an arithmetic number, because the mean of its divisors is an integer number (197002075725).

Almost surely, 2^{71995335604920} is an apocalyptic number.

71995335604920 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 71995335604920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151297594156800).

71995335604920 is an abundant number, since it is smaller than the sum of its proper divisors (230599852708680).

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

71995335604920 is a wasteful number, since it uses less digits than its factorization.

71995335604920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 71995335604920 in words is "seventy-one trillion, nine hundred ninety-five billion, three hundred thirty-five million, six hundred four thousand, nine hundred twenty".