1265348880 has 120 divisors (see below), whose sum is σ = 4396069080. Its totient is φ = 325785600.

The previous prime is 1265348857. The next prime is 1265348891. The reversal of 1265348880 is 888435621.

It can be written as a sum of positive squares in 4 ways, for example, as 437981184 + 827367696 = 20928^2 + 28764^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1265348880² = 3202215576234508800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9421 + ... + 51180.

It is an arithmetic number, because the mean of its divisors is an integer number (36633909).

Almost surely, 2^1265348880 is an apocalyptic number.

1265348880 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 1265348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198034540).

1265348880 is an abundant number, since it is smaller than the sum of its proper divisors (3130720200).

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

1265348880 is a wasteful number, since it uses less digits than its factorization.

1265348880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60649 (or 60640 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1265348880 is about 35571.7427180620. The cubic root of 1265348880 is about 1081.6085085127.

The spelling of 1265348880 in words is "one billion, two hundred sixty-five million, three hundred forty-eight thousand, eight hundred eighty".