1057313953200 has 480 divisors, whose sum is σ = 3677139648000. Its totient is φ = 258812928000.

The previous prime is 1057313953187. The next prime is 1057313953207. The reversal of 1057313953200 is 23593137501.

1057313953200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057313953200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057313953207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139281405 + ... + 139288995.

It is an arithmetic number, because the mean of its divisors is an integer number (7660707600).

Almost surely, 2^{1057313953200} is an apocalyptic number.

1057313953200 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 1057313953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838569824000).

1057313953200 is an abundant number, since it is smaller than the sum of its proper divisors (2619825694800).

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

1057313953200 is a wasteful number, since it uses less digits than its factorization.

1057313953200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The spelling of 1057313953200 in words is "one trillion, fifty-seven billion, three hundred thirteen million, nine hundred fifty-three thousand, two hundred".