20177047200 has 144 divisors (see below), whose sum is σ = 67451620320. Its totient is φ = 5235102720.

The previous prime is 20177047199. The next prime is 20177047213. The reversal of 20177047200 is 274077102.

It is a super-2 number, since 2×20177047200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24810 + ... + 202409.

It is an arithmetic number, because the mean of its divisors is an integer number (468414030).

Almost surely, 2^20177047200 is an apocalyptic number.

20177047200 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 20177047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33725810160).

20177047200 is an abundant number, since it is smaller than the sum of its proper divisors (47274573120).

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

20177047200 is a wasteful number, since it uses less digits than its factorization.

20177047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227279 (or 227266 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The spelling of 20177047200 in words is "twenty billion, one hundred seventy-seven million, forty-seven thousand, two hundred".