1956778560 has 280 divisors, whose sum is σ = 7594494336. Its totient is φ = 474301440.

The previous prime is 1956778501. The next prime is 1956778583. The reversal of 1956778560 is 658776591.

1956778560 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 7 + 78 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 1956778497 and 1956778506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281689 + ... + 288551.

Almost surely, 2^1956778560 is an apocalyptic number.

1956778560 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 1956778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797247168).

1956778560 is an abundant number, since it is smaller than the sum of its proper divisors (5637715776).

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

1956778560 is a wasteful number, since it uses less digits than its factorization.

1956778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 1956778560 is about 44235.4898243481. The cubic root of 1956778560 is about 1250.7789406337.

The spelling of 1956778560 in words is "one billion, nine hundred fifty-six million, seven hundred seventy-eight thousand, five hundred sixty".