1057006407888 has 30 divisors (see below), whose sum is σ = 2958149878034. Its totient is φ = 352335469248.

The previous prime is 1057006407871. The next prime is 1057006407923. The reversal of 1057006407888 is 8887046007501.

It is a happy number.

1057006407888 is a `hidden beast` number, since 1 + 0 + 570 + 0 + 64 + 0 + 7 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 686359227024 + 370647180864 = 828468^2 + 608808^2 .

It is a super-2 number, since 2×1057006407888² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3670160995 + ... + 3670161282.

Almost surely, 2^{1057006407888} is an apocalyptic number.

1057006407888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057006407888 is an abundant number, since it is smaller than the sum of its proper divisors (1901143470146).

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

1057006407888 is a wasteful number, since it uses less digits than its factorization.

1057006407888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340322291 (or 7340322282 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 1057006407888 in words is "one trillion, fifty-seven billion, six million, four hundred seven thousand, eight hundred eighty-eight".