21563949054900 has 1152 divisors, whose sum is σ = 78447619031040. Its totient is φ = 4476446208000.

The previous prime is 21563949054829. The next prime is 21563949054931. The reversal of 21563949054900 is 945094936512.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35880114600 + ... + 35880115200.

It is an arithmetic number, because the mean of its divisors is an integer number (68096891520).

Almost surely, 2^{21563949054900} is an apocalyptic number.

21563949054900 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 21563949054900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39223809515520).

21563949054900 is an abundant number, since it is smaller than the sum of its proper divisors (56883669976140).

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

21563949054900 is a wasteful number, since it uses less digits than its factorization.

21563949054900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 21563949054900 in words is "twenty-one trillion, five hundred sixty-three billion, nine hundred forty-nine million, fifty-four thousand, nine hundred".