20406087475200 has 3360 divisors, whose sum is σ = 92181387290400. Its totient is φ = 4418442362880.

The previous prime is 20406087475199. The next prime is 20406087475217. The reversal of 20406087475200 is 257478060402.

It is a happy number.

20406087475200 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 6 + 0 + 87 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 239 ways as a sum of consecutive naturals, for example, 385020518374 + ... + 385020518426.

Almost surely, 2^{20406087475200} is an apocalyptic number.

20406087475200 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 20406087475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46090693645200).

20406087475200 is an abundant number, since it is smaller than the sum of its proper divisors (71775299815200).

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

20406087475200 is an frugal number, since it uses more digits than its factorization.

20406087475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20406087475200 in words is "twenty trillion, four hundred six billion, eighty-seven million, four hundred seventy-five thousand, two hundred".