1057882703680 has 448 divisors, whose sum is σ = 2994889697280. Its totient is φ = 351867084800.

The previous prime is 1057882703671. The next prime is 1057882703707. The reversal of 1057882703680 is 863072887501.

It is a happy number.

It is a super-2 number, since 2×1057882703680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 251216775 + ... + 251220985.

Almost surely, 2^{1057882703680} is an apocalyptic number.

1057882703680 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 1057882703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497444848640).

1057882703680 is an abundant number, since it is smaller than the sum of its proper divisors (1937006993600).

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

1057882703680 is a wasteful number, since it uses less digits than its factorization.

1057882703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 1057882703680 in words is "one trillion, fifty-seven billion, eight hundred eighty-two million, seven hundred three thousand, six hundred eighty".