1307662168000 has 224 divisors, whose sum is σ = 3433801258368. Its totient is φ = 491595776000.

The previous prime is 1307662167971. The next prime is 1307662168003. The reversal of 1307662168000 is 8612667031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307662168003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101041530 + ... + 101054470.

Almost surely, 2^{1307662168000} is an apocalyptic number.

1307662168000 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 1307662168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716900629184).

1307662168000 is an abundant number, since it is smaller than the sum of its proper divisors (2126139090368).

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

1307662168000 is a wasteful number, since it uses less digits than its factorization.

1307662168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1307662168000 in words is "one trillion, three hundred seven billion, six hundred sixty-two million, one hundred sixty-eight thousand".