21420470863008 has 1152 divisors, whose sum is σ = 78639728428800. Its totient is φ = 5705588367360.

The previous prime is 21420470863007. The next prime is 21420470863009. The reversal of 21420470863008 is 80036807402412.

It is a happy number.

21420470863008 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 4 + 7 + 0 + 8 + 630 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21420470863007) and next prime (21420470863009).

It is not an unprimeable number, because it can be changed into a prime (21420470863007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6354335563 + ... + 6354338933.

It is an arithmetic number, because the mean of its divisors is an integer number (68263653150).

Almost surely, 2^{21420470863008} is an apocalyptic number.

21420470863008 is a gapful number since it is divisible by the number (28) 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 21420470863008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39319864214400).

21420470863008 is an abundant number, since it is smaller than the sum of its proper divisors (57219257565792).

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

21420470863008 is a wasteful number, since it uses less digits than its factorization.

21420470863008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 21420470863008 in words is "twenty-one trillion, four hundred twenty billion, four hundred seventy million, eight hundred sixty-three thousand, eight".