1396647705600 has 2112 divisors, whose sum is σ = 6164974464000. Its totient is φ = 309533736960.

The previous prime is 1396647705589. The next prime is 1396647705679. The reversal of 1396647705600 is 65077466931.

It is a happy number.

1396647705600 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 6 + 4 + 7 + 70 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10194508732 + ... + 10194508868.

It is an arithmetic number, because the mean of its divisors is an integer number (2919022000).

Almost surely, 2^{1396647705600} is an apocalyptic number.

1396647705600 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 1396647705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082487232000).

1396647705600 is an abundant number, since it is smaller than the sum of its proper divisors (4768326758400).

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

1396647705600 is a wasteful number, since it uses less digits than its factorization.

1396647705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 1396647705600 in words is "one trillion, three hundred ninety-six billion, six hundred forty-seven million, seven hundred five thousand, six hundred".