20172386480400 has 2400 divisors, whose sum is σ = 96635650636800. Its totient is φ = 3903203635200.

The previous prime is 20172386480371. The next prime is 20172386480417. The reversal of 20172386480400 is 408468327102.

It is a happy number.

20172386480400 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 238 + 6 + 4 + 8 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2796667194 + ... + 2796674406.

It is an arithmetic number, because the mean of its divisors is an integer number (40264854432).

Almost surely, 2^{20172386480400} is an apocalyptic number.

20172386480400 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 20172386480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48317825318400).

20172386480400 is an abundant number, since it is smaller than the sum of its proper divisors (76463264156400).

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

20172386480400 is a wasteful number, since it uses less digits than its factorization.

20172386480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20172386480400 in words is "twenty trillion, one hundred seventy-two billion, three hundred eighty-six million, four hundred eighty thousand, four hundred".