71516775960000 has 3360 divisors, whose sum is σ = 326380774720000. Its totient is φ = 15472622592000.

The previous prime is 71516775959999. The next prime is 71516775960029. The reversal of 71516775960000 is 6957761517.

71516775960000 is a `hidden beast` number, since 7 + 1 + 516 + 77 + 59 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×71516775960000² (a number of 29 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63345239436 + ... + 63345240564.

Almost surely, 2^{71516775960000} is an apocalyptic number.

71516775960000 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 71516775960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163190387360000).

71516775960000 is an abundant number, since it is smaller than the sum of its proper divisors (254863998760000).

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

71516775960000 is an equidigital number, since it uses as much as digits as its factorization.

71516775960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 71516775960000 in words is "seventy-one trillion, five hundred sixteen billion, seven hundred seventy-five million, nine hundred sixty thousand".