2057567395104 has 144 divisors (see below), whose sum is σ = 6302062166400. Its totient is φ = 633021101568.

The previous prime is 2057567395069. The next prime is 2057567395127. The reversal of 2057567395104 is 4015937657502.

It is a happy number.

2057567395104 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 56 + 73 + 9 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36209787 + ... + 36266565.

It is an arithmetic number, because the mean of its divisors is an integer number (43764320600).

Almost surely, 2^{2057567395104} is an apocalyptic number.

2057567395104 is a gapful number since it is divisible by the number (24) 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 2057567395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151031083200).

2057567395104 is an abundant number, since it is smaller than the sum of its proper divisors (4244494771296).

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

2057567395104 is a wasteful number, since it uses less digits than its factorization.

2057567395104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66487 (or 66476 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 2057567395104 in words is "two trillion, fifty-seven billion, five hundred sixty-seven million, three hundred ninety-five thousand, one hundred four".