1057649109000 has 128 divisors (see below), whose sum is σ = 3599853079680. Its totient is φ = 256399776000.

The previous prime is 1057649108959. The next prime is 1057649109029. The reversal of 1057649109000 is 9019467501.

It is a super-2 number, since 2×1057649109000² (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 31 ways as a sum of consecutive naturals, for example, 15991987 + ... + 16057986.

It is an arithmetic number, because the mean of its divisors is an integer number (28123852185).

Almost surely, 2^{1057649109000} is an apocalyptic number.

1057649109000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057649109000 is an abundant number, since it is smaller than the sum of its proper divisors (2542203970680).

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

1057649109000 is a wasteful number, since it uses less digits than its factorization.

1057649109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050008 (or 32049994 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 1057649109000 in words is "one trillion, fifty-seven billion, six hundred forty-nine million, one hundred nine thousand".