1057888540800 has 2304 divisors, whose sum is σ = 4972181760000. Its totient is φ = 208089907200.

The previous prime is 1057888540783. The next prime is 1057888540823. The reversal of 1057888540800 is 80458887501.

1057888540800 is a `hidden beast` number, since 10 + 5 + 7 + 8 + 8 + 8 + 540 + 80 + 0 = 666.

It is a super-2 number, since 2×1057888540800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2356098976 + ... + 2356099424.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065000).

Almost surely, 2^{1057888540800} is an apocalyptic number.

1057888540800 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 1057888540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880000).

1057888540800 is an abundant number, since it is smaller than the sum of its proper divisors (3914293219200).

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

1057888540800 is a wasteful number, since it uses less digits than its factorization.

1057888540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 1057888540800 in words is "one trillion, fifty-seven billion, eight hundred eighty-eight million, five hundred forty thousand, eight hundred".