1057781620008 has 48 divisors (see below), whose sum is σ = 2865556249920. Its totient is φ = 352503900576.

The previous prime is 1057781619989. The next prime is 1057781620009. The reversal of 1057781620008 is 8000261877501.

It is a happy number.

1057781620008 is a `hidden beast` number, since 10 + 5 + 7 + 7 + 8 + 1 + 620 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1057781620008² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057781620009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590016 + ... + 2154927.

It is an arithmetic number, because the mean of its divisors is an integer number (59699088540).

Almost surely, 2^{1057781620008} is an apocalyptic number.

1057781620008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057781620008 is an abundant number, since it is smaller than the sum of its proper divisors (1807774629912).

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

1057781620008 is a wasteful number, since it uses less digits than its factorization.

1057781620008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748878 (or 3748871 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1057781620008 in words is "one trillion, fifty-seven billion, seven hundred eighty-one million, six hundred twenty thousand, eight".