1206631983960 has 384 divisors, whose sum is σ = 4411199520000. Its totient is φ = 294875997696.

The previous prime is 1206631983919. The next prime is 1206631983967. The reversal of 1206631983960 is 693891366021.

1206631983960 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 63 + 198 + 396 + 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 = 1206631983897 and 1206631983906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206631983967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17529691 + ... + 17598389.

It is an arithmetic number, because the mean of its divisors is an integer number (11487498750).

Almost surely, 2^{1206631983960} is an apocalyptic number.

1206631983960 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 1206631983960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205599760000).

1206631983960 is an abundant number, since it is smaller than the sum of its proper divisors (3204567536040).

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

1206631983960 is a wasteful number, since it uses less digits than its factorization.

1206631983960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68877 (or 68861 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1206631983960 in words is "one trillion, two hundred six billion, six hundred thirty-one million, nine hundred eighty-three thousand, nine hundred sixty".