1265668000 has 192 divisors, whose sum is σ = 3283338240. Its totient is φ = 478848000.

The previous prime is 1265667959. The next prime is 1265668013. The reversal of 1265668000 is 8665621.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7315914 + ... + 7316086.

It is an arithmetic number, because the mean of its divisors is an integer number (17100720).

Almost surely, 2^1265668000 is an apocalyptic number.

1265668000 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 1265668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641669120).

1265668000 is an abundant number, since it is smaller than the sum of its proper divisors (2017670240).

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

1265668000 is a wasteful number, since it uses less digits than its factorization.

1265668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1265668000 is about 35576.2280181584. The cubic root of 1265668000 is about 1081.6994278104.

It can be divided in two parts, 12656 and 68000, that added together give a square (80656 = 284²).

The spelling of 1265668000 in words is "one billion, two hundred sixty-five million, six hundred sixty-eight thousand".