1264288253760 has 2688 divisors, whose sum is σ = 5892891033600. Its totient is φ = 252184264704.

The previous prime is 1264288253747. The next prime is 1264288253797. The reversal of 1264288253760 is 673528824621.

1264288253760 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 28 + 82 + 537 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1264288253697 and 1264288253706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26899750057 + ... + 26899750103.

Almost surely, 2^{1264288253760} is an apocalyptic number.

1264288253760 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 1264288253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946445516800).

1264288253760 is an abundant number, since it is smaller than the sum of its proper divisors (4628602779840).

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

1264288253760 is an equidigital number, since it uses as much as digits as its factorization.

1264288253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1264288253760 in words is "one trillion, two hundred sixty-four billion, two hundred eighty-eight million, two hundred fifty-three thousand, seven hundred sixty".