21878935323840 has 3528 divisors, whose sum is σ = 99688363396560. Its totient is φ = 4553936142336.

The previous prime is 21878935323799. The next prime is 21878935323841. The reversal of 21878935323840 is 4832353987812.

21878935323840 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 8 + 9 + 353 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21878935323841) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 122228688871 + ... + 122228689049.

Almost surely, 2^{21878935323840} is an apocalyptic number.

21878935323840 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 21878935323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49844181698280).

21878935323840 is an abundant number, since it is smaller than the sum of its proper divisors (77809428072720).

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

21878935323840 is a wasteful number, since it uses less digits than its factorization.

21878935323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 21878935323840 in words is "twenty-one trillion, eight hundred seventy-eight billion, nine hundred thirty-five million, three hundred twenty-three thousand, eight hundred forty".