1260501903360 has 2304 divisors, whose sum is σ = 5646775680000. Its totient is φ = 265091678208.

The previous prime is 1260501903239. The next prime is 1260501903361. The reversal of 1260501903360 is 633091050621.

1260501903360 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 501 + 90 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260501903361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15186769879 + ... + 15186769961.

It is an arithmetic number, because the mean of its divisors is an integer number (2450857500).

Almost surely, 2^{1260501903360} is an apocalyptic number.

1260501903360 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 1260501903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840000).

1260501903360 is an abundant number, since it is smaller than the sum of its proper divisors (4386273776640).

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

1260501903360 is a wasteful number, since it uses less digits than its factorization.

1260501903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 1260501903360 its reverse (633091050621), we get a palindrome (1893592953981).

The spelling of 1260501903360 in words is "one trillion, two hundred sixty billion, five hundred one million, nine hundred three thousand, three hundred sixty".