1057028677128 has 32 divisors (see below), whose sum is σ = 2936190770400. Its totient is φ = 352342892304.

The previous prime is 1057028677121. The next prime is 1057028677139. The reversal of 1057028677128 is 8217768207501.

1057028677128 is a `hidden beast` number, since 1 + 0 + 570 + 2 + 8 + 67 + 7 + 1 + 2 + 8 = 666.

1057028677128 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 2×1057028677128² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (1057028677121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2446825426 + ... + 2446825857.

It is an arithmetic number, because the mean of its divisors is an integer number (91755961575).

Almost surely, 2^{1057028677128} is an apocalyptic number.

1057028677128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057028677128 is an abundant number, since it is smaller than the sum of its proper divisors (1879162093272).

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

1057028677128 is a wasteful number, since it uses less digits than its factorization.

1057028677128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893651298 (or 4893651288 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 1057028677128 in words is "one trillion, fifty-seven billion, twenty-eight million, six hundred seventy-seven thousand, one hundred twenty-eight".