7181161001280 has 672 divisors, whose sum is σ = 30406400114688. Its totient is φ = 1519393075200.

The previous prime is 7181161001237. The next prime is 7181161001281. The reversal of 7181161001280 is 821001611817.

7181161001280 is a `hidden beast` number, since 7 + 1 + 8 + 11 + 610 + 0 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7181161001281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14124285 + ... + 14623875.

Almost surely, 2^{7181161001280} is an apocalyptic number.

7181161001280 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 7181161001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203200057344).

7181161001280 is an abundant number, since it is smaller than the sum of its proper divisors (23225239113408).

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

7181161001280 is a wasteful number, since it uses less digits than its factorization.

7181161001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499675 (or 499662 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

The spelling of 7181161001280 in words is "seven trillion, one hundred eighty-one billion, one hundred sixty-one million, one thousand, two hundred eighty".