21477954950784 has 1024 divisors, whose sum is σ = 69573572006400. Its totient is φ = 6578719948800.

The previous prime is 21477954950783. The next prime is 21477954950821. The reversal of 21477954950784 is 48705945977412.

21477954950784 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 7 + 9 + 549 + 5 + 0 + 78 + 4 = 666.

It is a super-2 number, since 2×21477954950784² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (21477954950783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69960765159 + ... + 69960765465.

Almost surely, 2^{21477954950784} is an apocalyptic number.

21477954950784 is a gapful number since it is divisible by the number (24) 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 21477954950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786786003200).

21477954950784 is an abundant number, since it is smaller than the sum of its proper divisors (48095617055616).

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

21477954950784 is an equidigital number, since it uses as much as digits as its factorization.

21477954950784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 21477954950784 in words is "twenty-one trillion, four hundred seventy-seven billion, nine hundred fifty-four million, nine hundred fifty thousand, seven hundred eighty-four".