20168870400000 has 2340 divisors, whose sum is σ = 87823848234276. Its totient is φ = 4598415360000.

The previous prime is 20168870399989. The next prime is 20168870400023. The reversal of 20168870400000 is 407886102.

20168870400000 is a `hidden beast` number, since 20 + 168 + 8 + 70 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15233221656576 + 4935648743424 = 3902976^2 + 2221632^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 50803199802 + ... + 50803200198.

Almost surely, 2^{20168870400000} is an apocalyptic number.

20168870400000 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 20168870400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911924117138).

20168870400000 is an abundant number, since it is smaller than the sum of its proper divisors (67654977834276).

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

20168870400000 is an frugal number, since it uses more digits than its factorization.

20168870400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20168870400000 in words is "twenty trillion, one hundred sixty-eight billion, eight hundred seventy million, four hundred thousand".