1053168958000 has 80 divisors (see below), whose sum is σ = 2555757251424. Its totient is φ = 419746540800.

The previous prime is 1053168957991. The next prime is 1053168958001. The reversal of 1053168958000 is 8598613501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1053168958000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053168958001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396514 + ... + 1504513.

Almost surely, 2^{1053168958000} is an apocalyptic number.

1053168958000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053168958000 is an abundant number, since it is smaller than the sum of its proper divisors (1502588293424).

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

1053168958000 is a wasteful number, since it uses less digits than its factorization.

1053168958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901327 (or 1901311 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 1053168958000 in words is "one trillion, fifty-three billion, one hundred sixty-eight million, nine hundred fifty-eight thousand".