1057228145568 has 720 divisors, whose sum is σ = 3772651728384. Its totient is φ = 284213422080.

The previous prime is 1057228145539. The next prime is 1057228145569. The reversal of 1057228145568 is 8655418227501.

1057228145568 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 2 + 81 + 4 + 556 + 8 = 666.

1057228145568 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 2×1057228145568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1057228145569) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 770012530 + ... + 770013902.

Almost surely, 2^{1057228145568} is an apocalyptic number.

1057228145568 is a gapful number since it is divisible by the number (18) 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 1057228145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886325864192).

1057228145568 is an abundant number, since it is smaller than the sum of its proper divisors (2715423582816).

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

1057228145568 is a wasteful number, since it uses less digits than its factorization.

1057228145568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 1057228145568 in words is "one trillion, fifty-seven billion, two hundred twenty-eight million, one hundred forty-five thousand, five hundred sixty-eight".