7131712268880 has 1920 divisors, whose sum is σ = 28008007372800. Its totient is φ = 1680511795200.

The previous prime is 7131712268867. The next prime is 7131712268887. The reversal of 7131712268880 is 888622171317.

7131712268880 is a `hidden beast` number, since 71 + 317 + 122 + 68 + 8 + 80 = 666.

It is a super-2 number, since 2×7131712268880² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (7131712268887) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26511941386 + ... + 26511941654.

It is an arithmetic number, because the mean of its divisors is an integer number (14587503840).

Almost surely, 2^{7131712268880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7131712268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004003686400).

7131712268880 is an abundant number, since it is smaller than the sum of its proper divisors (20876295103920).

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

7131712268880 is a wasteful number, since it uses less digits than its factorization.

7131712268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 7131712268880 in words is "seven trillion, one hundred thirty-one billion, seven hundred twelve million, two hundred sixty-eight thousand, eight hundred eighty".