1956878392500 has 480 divisors, whose sum is σ = 6509659242240. Its totient is φ = 514484460000.

The previous prime is 1956878392499. The next prime is 1956878392583. The reversal of 1956878392500 is 52938786591.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1956878392500 is a `hidden beast` number, since 1 + 9 + 56 + 8 + 78 + 3 + 9 + 2 + 500 = 666.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 15975 × 9585 × 12780.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27561667465 + ... + 27561667535.

It is an arithmetic number, because the mean of its divisors is an integer number (13561790088).

Almost surely, 2^{1956878392500} is an apocalyptic number.

1956878392500 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 1956878392500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254829621120).

1956878392500 is an abundant number, since it is smaller than the sum of its proper divisors (4552780849740).

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

1956878392500 is an frugal number, since it uses more digits than its factorization.

1956878392500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1956878392500 in words is "one trillion, nine hundred fifty-six billion, eight hundred seventy-eight million, three hundred ninety-two thousand, five hundred".