21820211034624 has 240 divisors, whose sum is σ = 64052954634240. Its totient is φ = 7149908828160.

The previous prime is 21820211034569. The next prime is 21820211034659. The reversal of 21820211034624 is 42643011202812.

21820211034624 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 0 + 21 + 1 + 0 + 3 + 4 + 624 = 666.

It is a super-2 number, since 2×21820211034624² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63617509 + ... + 63959579.

It is an arithmetic number, because the mean of its divisors is an integer number (266887310976).

Almost surely, 2^{21820211034624} is an apocalyptic number.

21820211034624 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 21820211034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32026477317120).

21820211034624 is an abundant number, since it is smaller than the sum of its proper divisors (42232743599616).

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

21820211034624 is a wasteful number, since it uses less digits than its factorization.

21820211034624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342331 (or 342312 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21820211034624 in words is "twenty-one trillion, eight hundred twenty billion, two hundred eleven million, thirty-four thousand, six hundred twenty-four".