21854690010000 has 225 divisors, whose sum is σ = 76433912708439. Its totient is φ = 5827543344000.

The previous prime is 21854690009963. The next prime is 21854690010031. The reversal of 21854690010000 is 1009645812.

The square root of 21854690010000 is 4674900.

It is a perfect power (a square), and thus also a powerful number.

21854690010000 is a `hidden beast` number, since 2 + 1 + 8 + 546 + 9 + 0 + 0 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1713407696784 + 20141282313216 = 1308972^2 + 4487904^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1402462209 + ... + 1402477791.

Almost surely, 2^{21854690010000} is an apocalyptic number.

21854690010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21854690010000 is the 4674900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21854690010000

21854690010000 is an abundant number, since it is smaller than the sum of its proper divisors (54579222698439).

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

21854690010000 is an frugal number, since it uses more digits than its factorization.

21854690010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 21854690010000 by its sum of digits (36), we get a square (786768840360000 = 28049400²).

21854690010000 divided by its sum of digits (36) gives a square (607074722500 = 779150²).

Adding to 21854690010000 its reverse (1009645812), we get a palindrome (21855699655812).

The spelling of 21854690010000 in words is "twenty-one trillion, eight hundred fifty-four billion, six hundred ninety million, ten thousand".