1381282752960 has 896 divisors, whose sum is σ = 5615451832320. Its totient is φ = 316489420800.

The previous prime is 1381282752943. The next prime is 1381282752979. The reversal of 1381282752960 is 692572821831.

1381282752960 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 282 + 75 + 296 + 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 = 1381282752897 and 1381282752906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126682869 + ... + 126693771.

Almost surely, 2^{1381282752960} is an apocalyptic number.

1381282752960 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 1381282752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807725916160).

1381282752960 is an abundant number, since it is smaller than the sum of its proper divisors (4234169079360).

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

1381282752960 is a wasteful number, since it uses less digits than its factorization.

1381282752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1381282752960 in words is "one trillion, three hundred eighty-one billion, two hundred eighty-two million, seven hundred fifty-two thousand, nine hundred sixty".