1053686168820 has 120 divisors (see below), whose sum is σ = 3479423824800. Its totient is φ = 266194392768.

The previous prime is 1053686168819. The next prime is 1053686168827. The reversal of 1053686168820 is 288616863501.

1053686168820 is a `hidden beast` number, since 1 + 0 + 536 + 8 + 6 + 1 + 6 + 88 + 20 = 666.

It is a super-2 number, since 2×1053686168820² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053686168827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17085630 + ... + 17147189.

It is an arithmetic number, because the mean of its divisors is an integer number (28995198540).

Almost surely, 2^{1053686168820} is an apocalyptic number.

1053686168820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053686168820 is an abundant number, since it is smaller than the sum of its proper divisors (2425737655980).

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

1053686168820 is a wasteful number, since it uses less digits than its factorization.

1053686168820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34232859 (or 34232848 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1053686168820 in words is "one trillion, fifty-three billion, six hundred eighty-six million, one hundred sixty-eight thousand, eight hundred twenty".