71769998160000 has 4800 divisors, whose sum is σ = 328833145179000. Its totient is φ = 15467397120000.

The previous prime is 71769998159957. The next prime is 71769998160017. The reversal of 71769998160000 is 6189996717.

71769998160000 is a `hidden beast` number, since 7 + 17 + 6 + 9 + 9 + 9 + 8 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 47419089367104 + 24350908792896 = 6886152^2 + 4934664^2 .

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a self number, because there is not a number n which added to its sum of digits gives 71769998160000.

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 599 ways as a sum of consecutive naturals, for example, 481677839926 + ... + 481677840074.

Almost surely, 2^{71769998160000} is an apocalyptic number.

71769998160000 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 71769998160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164416572589500).

71769998160000 is an abundant number, since it is smaller than the sum of its proper divisors (257063147019000).

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

71769998160000 is a wasteful number, since it uses less digits than its factorization.

71769998160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 71769998160000 in words is "seventy-one trillion, seven hundred sixty-nine billion, nine hundred ninety-eight million, one hundred sixty thousand".