20434188560160 has 96 divisors (see below), whose sum is σ = 64370357311680. Its totient is φ = 5448891481088.

The previous prime is 20434188560129. The next prime is 20434188560251. The reversal of 20434188560160 is 6106588143402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20434188560160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10895839 + ... + 12632801.

It is an arithmetic number, because the mean of its divisors is an integer number (670524555330).

Almost surely, 2^{20434188560160} is an apocalyptic number.

20434188560160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434188560160 is an abundant number, since it is smaller than the sum of its proper divisors (43936168751520).

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

20434188560160 is a wasteful number, since it uses less digits than its factorization.

20434188560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761490 (or 1761482 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 20434188560160 in words is "twenty trillion, four hundred thirty-four billion, one hundred eighty-eight million, five hundred sixty thousand, one hundred sixty".