21782453056 has 448 divisors, whose sum is σ = 59776303104. Its totient is φ = 7630848000.

The previous prime is 21782453047. The next prime is 21782453057. The reversal of 21782453056 is 65035428712.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21782453056² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21782453057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144254581 + ... + 144254731.

It is an arithmetic number, because the mean of its divisors is an integer number (133429248).

Almost surely, 2^21782453056 is an apocalyptic number.

21782453056 is a gapful number since it is divisible by the number (26) 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 21782453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29888151552).

21782453056 is an abundant number, since it is smaller than the sum of its proper divisors (37993850048).

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

21782453056 is a wasteful number, since it uses less digits than its factorization.

21782453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 21782453056 in words is "twenty-one billion, seven hundred eighty-two million, four hundred fifty-three thousand, fifty-six".