1321967001600 has 2688 divisors, whose sum is σ = 6143231808000. Its totient is φ = 277453209600.

The previous prime is 1321967001587. The next prime is 1321967001613. The reversal of 1321967001600 is 61007691231.

1321967001600 is a `hidden beast` number, since 1 + 32 + 19 + 6 + 7 + 0 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1321967001587) and next prime (1321967001613).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 32243097580 + ... + 32243097620.

It is an arithmetic number, because the mean of its divisors is an integer number (2285428500).

Almost surely, 2^{1321967001600} is an apocalyptic number.

1321967001600 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 1321967001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071615904000).

1321967001600 is an abundant number, since it is smaller than the sum of its proper divisors (4821264806400).

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

1321967001600 is an equidigital number, since it uses as much as digits as its factorization.

1321967001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1321967001600 in words is "one trillion, three hundred twenty-one billion, nine hundred sixty-seven million, one thousand, six hundred".