20167868160 has 288 divisors, whose sum is σ = 78075567360. Its totient is φ = 4889088000.

The previous prime is 20167868153. The next prime is 20167868173. The reversal of 20167868160 is 6186876102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20167868160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 353635 + ... + 406685.

It is an arithmetic number, because the mean of its divisors is an integer number (271095720).

Almost surely, 2^20167868160 is an apocalyptic number.

20167868160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20167868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39037783680).

20167868160 is an abundant number, since it is smaller than the sum of its proper divisors (57907699200).

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

20167868160 is a wasteful number, since it uses less digits than its factorization.

20167868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53092 (or 53072 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20167868160 in words is "twenty billion, one hundred sixty-seven million, eight hundred sixty-eight thousand, one hundred sixty".