2057731153920 has 2016 divisors, whose sum is σ = 8667461537280. Its totient is φ = 464380231680.

The previous prime is 2057731153909. The next prime is 2057731153993. The reversal of 2057731153920 is 293511377502.

2057731153920 is a `hidden beast` number, since 2 + 0 + 577 + 3 + 1 + 1 + 53 + 9 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66378424305 + ... + 66378424335.

It is an arithmetic number, because the mean of its divisors is an integer number (4299336080).

Almost surely, 2^{2057731153920} is an apocalyptic number.

2057731153920 is a gapful number since it is divisible by the number (20) 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 2057731153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333730768640).

2057731153920 is an abundant number, since it is smaller than the sum of its proper divisors (6609730383360).

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

2057731153920 is an frugal number, since it uses more digits than its factorization.

2057731153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 2057731153920 in words is "two trillion, fifty-seven billion, seven hundred thirty-one million, one hundred fifty-three thousand, nine hundred twenty".