1956794112000 has 3840 divisors, whose sum is σ = 9661534122240. Its totient is φ = 382205952000.

The previous prime is 1956794111929. The next prime is 1956794112043. The reversal of 1956794112000 is 2114976591.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32078591970 + ... + 32078592030.

It is an arithmetic number, because the mean of its divisors is an integer number (2516024511).

Almost surely, 2^{1956794112000} is an apocalyptic number.

1956794112000 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 1956794112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830767061120).

1956794112000 is an abundant number, since it is smaller than the sum of its proper divisors (7704740010240).

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

1956794112000 is a wasteful number, since it uses less digits than its factorization.

1956794112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1956794112000 in words is "one trillion, nine hundred fifty-six billion, seven hundred ninety-four million, one hundred twelve thousand".