1957978120 has 128 divisors (see below), whose sum is σ = 5348332800. Its totient is φ = 630153216.

The previous prime is 1957978093. The next prime is 1957978151. The reversal of 1957978120 is 218797591.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599532 + ... + 602788.

It is an arithmetic number, because the mean of its divisors is an integer number (41783850).

Almost surely, 2^1957978120 is an apocalyptic number.

1957978120 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 1957978120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674166400).

1957978120 is an abundant number, since it is smaller than the sum of its proper divisors (3390354680).

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

1957978120 is a wasteful number, since it uses less digits than its factorization.

1957978120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 49.

The square root of 1957978120 is about 44249.0465434002. The cubic root of 1957978120 is about 1251.0344759182.

The spelling of 1957978120 in words is "one billion, nine hundred fifty-seven million, nine hundred seventy-eight thousand, one hundred twenty".