21476785449600 has 1152 divisors, whose sum is σ = 85785328137600. Its totient is φ = 5081467944960.

The previous prime is 21476785449557. The next prime is 21476785449601. The reversal of 21476785449600 is 694458767412.

21476785449600 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 67 + 85 + 4 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×21476785449600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21476785449601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1149773061 + ... + 1149791739.

It is an arithmetic number, because the mean of its divisors is an integer number (74466430675).

Almost surely, 2^{21476785449600} is an apocalyptic number.

21476785449600 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 21476785449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42892664068800).

21476785449600 is an abundant number, since it is smaller than the sum of its proper divisors (64308542688000).

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

21476785449600 is a wasteful number, since it uses less digits than its factorization.

21476785449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 21476785449600 in words is "twenty-one trillion, four hundred seventy-six billion, seven hundred eighty-five million, four hundred forty-nine thousand, six hundred".