2665348769160 has 1280 divisors, whose sum is σ = 11642019840000. Its totient is φ = 541938055680.

The previous prime is 2665348769099. The next prime is 2665348769191. The reversal of 2665348769160 is 619678435662.

2665348769160 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 3 + 487 + 6 + 91 + 60 = 666.

It is a super-2 number, since 2×2665348769160² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 574550121 + ... + 574554759.

It is an arithmetic number, because the mean of its divisors is an integer number (9095328000).

It is a 1-persistent number, because it is pandigital, but 2⋅2665348769160 = 5330697538320 is not.

Almost surely, 2^{2665348769160} is an apocalyptic number.

2665348769160 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 2665348769160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821009920000).

2665348769160 is an abundant number, since it is smaller than the sum of its proper divisors (8976671070840).

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

2665348769160 is a wasteful number, since it uses less digits than its factorization.

2665348769160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2665348769160 in words is "two trillion, six hundred sixty-five billion, three hundred forty-eight million, seven hundred sixty-nine thousand, one hundred sixty".