1260508691904 has 448 divisors, whose sum is σ = 4407420874752. Its totient is φ = 307810713600.

The previous prime is 1260508691903. The next prime is 1260508691909. The reversal of 1260508691904 is 4091968050621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260508691903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294302947 + ... + 294307229.

It is an arithmetic number, because the mean of its divisors is an integer number (9837993024).

Almost surely, 2^{1260508691904} is an apocalyptic number.

1260508691904 is a gapful number since it is divisible by the number (14) 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 1260508691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203710437376).

1260508691904 is an abundant number, since it is smaller than the sum of its proper divisors (3146912182848).

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

1260508691904 is a wasteful number, since it uses less digits than its factorization.

1260508691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1260508691904 in words is "one trillion, two hundred sixty billion, five hundred eight million, six hundred ninety-one thousand, nine hundred four".