2665329131520 has 1632 divisors, whose sum is σ = 11129752408320. Its totient is φ = 604734750720.

The previous prime is 2665329131453. The next prime is 2665329131551. The reversal of 2665329131520 is 251319235662.

2665329131520 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 3 + 2 + 91 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14890106791 + ... + 14890106969.

Almost surely, 2^{2665329131520} is an apocalyptic number.

2665329131520 is a gapful number since it is divisible by the number (20) 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 2665329131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564876204160).

2665329131520 is an abundant number, since it is smaller than the sum of its proper divisors (8464423276800).

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

2665329131520 is an equidigital number, since it uses as much as digits as its factorization.

2665329131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 2665329131520 in words is "two trillion, six hundred sixty-five billion, three hundred twenty-nine million, one hundred thirty-one thousand, five hundred twenty".