131168787946560 has 5376 divisors, whose sum is σ = 648864326246400. Its totient is φ = 24267020304384.

The previous prime is 131168787946531. The next prime is 131168787946583. The reversal of 131168787946560 is 65649787861131.

131168787946560 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 87 + 87 + 9 + 465 + 6 + 0 = 666.

131168787946560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 221195257624 + ... + 221195258216.

Almost surely, 2^{131168787946560} is an apocalyptic number.

131168787946560 is a gapful number since it is divisible by the number (10) 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 131168787946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324432163123200).

131168787946560 is an abundant number, since it is smaller than the sum of its proper divisors (517695538299840).

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

131168787946560 is a wasteful number, since it uses less digits than its factorization.

131168787946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 131168787946560 in words is "one hundred thirty-one trillion, one hundred sixty-eight billion, seven hundred eighty-seven million, nine hundred forty-six thousand, five hundred sixty".