21840978302208 has 1152 divisors, whose sum is σ = 73167879536640. Its totient is φ = 6380928368640.

The previous prime is 21840978302191. The next prime is 21840978302287. The reversal of 21840978302208 is 80220387904812.

21840978302208 is a `hidden beast` number, since 2 + 1 + 8 + 40 + 97 + 8 + 302 + 208 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37852648416 + ... + 37852648992.

It is an arithmetic number, because the mean of its divisors is an integer number (63513784320).

Almost surely, 2^{21840978302208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21840978302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36583939768320).

21840978302208 is an abundant number, since it is smaller than the sum of its proper divisors (51326901234432).

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

21840978302208 is a wasteful number, since it uses less digits than its factorization.

21840978302208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 21840978302208 in words is "twenty-one trillion, eight hundred forty billion, nine hundred seventy-eight million, three hundred two thousand, two hundred eight".