1956820039680 has 768 divisors, whose sum is σ = 7218815385600. Its totient is φ = 447871057920.

The previous prime is 1956820039667. The next prime is 1956820039777. The reversal of 1956820039680 is 869300286591.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 1956820039680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613999047 + ... + 614002233.

It is an arithmetic number, because the mean of its divisors is an integer number (9399499200).

Almost surely, 2^{1956820039680} is an apocalyptic number.

1956820039680 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 1956820039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609407692800).

1956820039680 is an abundant number, since it is smaller than the sum of its proper divisors (5261995345920).

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

1956820039680 is a wasteful number, since it uses less digits than its factorization.

1956820039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 1956820039680 in words is "one trillion, nine hundred fifty-six billion, eight hundred twenty million, thirty-nine thousand, six hundred eighty".