1057107062048 has 192 divisors, whose sum is σ = 2332930682880. Its totient is φ = 469489996800.

The previous prime is 1057107062047. The next prime is 1057107062057. The reversal of 1057107062048 is 8402607017501.

It is a super-2 number, since 2×1057107062048² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057107061996 and 1057107062014.

It is not an unprimeable number, because it can be changed into a prime (1057107062047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77024915 + ... + 77038637.

It is an arithmetic number, because the mean of its divisors is an integer number (12150680640).

Almost surely, 2^{1057107062048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057107062048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166465341440).

1057107062048 is an abundant number, since it is smaller than the sum of its proper divisors (1275823620832).

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

1057107062048 is a wasteful number, since it uses less digits than its factorization.

1057107062048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13911 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 1057107062048 in words is "one trillion, fifty-seven billion, one hundred seven million, sixty-two thousand, forty-eight".