21006434293824 has 896 divisors, whose sum is σ = 68222514954240. Its totient is φ = 5579410636800.

The previous prime is 21006434293799. The next prime is 21006434293843. The reversal of 21006434293824 is 42839243460012.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19219061022 + ... + 19219062114.

Almost surely, 2^{21006434293824} is an apocalyptic number.

21006434293824 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 21006434293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111257477120).

21006434293824 is an abundant number, since it is smaller than the sum of its proper divisors (47216080660416).

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

21006434293824 is a wasteful number, since it uses less digits than its factorization.

21006434293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 21006434293824 in words is "twenty-one trillion, six billion, four hundred thirty-four million, two hundred ninety-three thousand, eight hundred twenty-four".