20005167448100 has 288 divisors, whose sum is σ = 47622272812800. Its totient is φ = 7267586457600.

The previous prime is 20005167448099. The next prime is 20005167448109. The reversal of 20005167448100 is 184476150002.

It is a super-2 number, since 2×20005167448100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (20005167448109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9396507836 + ... + 9396509964.

Almost surely, 2^{20005167448100} is an apocalyptic number.

20005167448100 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 20005167448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23811136406400).

20005167448100 is an abundant number, since it is smaller than the sum of its proper divisors (27617105364700).

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

20005167448100 is a wasteful number, since it uses less digits than its factorization.

20005167448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 20005167448100 in words is "twenty trillion, five billion, one hundred sixty-seven million, four hundred forty-eight thousand, one hundred".