1057775827200 has 216 divisors, whose sum is σ = 3492063035328. Its totient is φ = 281978019840.

The previous prime is 1057775827103. The next prime is 1057775827243. The reversal of 1057775827200 is 27285777501.

It is a happy number.

It is a super-2 number, since 2×1057775827200² (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 23 ways as a sum of consecutive naturals, for example, 70590909 + ... + 70605891.

Almost surely, 2^{1057775827200} is an apocalyptic number.

1057775827200 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 1057775827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746031517664).

1057775827200 is an abundant number, since it is smaller than the sum of its proper divisors (2434287208128).

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

1057775827200 is a wasteful number, since it uses less digits than its factorization.

1057775827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18689 (or 18670 counting only the distinct ones).

The product of its (nonzero) digits is 1920800, while the sum is 51.

The spelling of 1057775827200 in words is "one trillion, fifty-seven billion, seven hundred seventy-five million, eight hundred twenty-seven thousand, two hundred".