1382658600960 has 1872 divisors, whose sum is σ = 6296753795904. Its totient is φ = 273829330944.

The previous prime is 1382658600959. The next prime is 1382658600991. The reversal of 1382658600960 is 690068562831.

It is a happy number.

1382658600960 is a `hidden beast` number, since 1 + 3 + 8 + 26 + 5 + 8 + 600 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a junction number, because it is equal to n+sod(n) for n = 1382658600897 and 1382658600906.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3706859334 + ... + 3706859706.

It is an arithmetic number, because the mean of its divisors is an integer number (3363650532).

Almost surely, 2^{1382658600960} is an apocalyptic number.

1382658600960 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 1382658600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148376897952).

1382658600960 is an abundant number, since it is smaller than the sum of its proper divisors (4914095194944).

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

1382658600960 is a wasteful number, since it uses less digits than its factorization.

1382658600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1382658600960 in words is "one trillion, three hundred eighty-two billion, six hundred fifty-eight million, six hundred thousand, nine hundred sixty".