20990408947200 has 1800 divisors, whose sum is σ = 98588783523384. Its totient is φ = 4361527296000.

The previous prime is 20990408947111. The next prime is 20990408947223. The reversal of 20990408947200 is 274980409902.

20990408947200 is a `hidden beast` number, since 2 + 0 + 9 + 90 + 4 + 0 + 89 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 558816420 + ... + 558853980.

Almost surely, 2^{20990408947200} is an apocalyptic number.

20990408947200 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 20990408947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294391761692).

20990408947200 is an abundant number, since it is smaller than the sum of its proper divisors (77598374576184).

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

20990408947200 is a wasteful number, since it uses less digits than its factorization.

20990408947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37626 (or 37589 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 20990408947200 in words is "twenty trillion, nine hundred ninety billion, four hundred eight million, nine hundred forty-seven thousand, two hundred".