21916734840 has 1536 divisors, whose sum is σ = 105106176000. Its totient is φ = 3941498880.

The previous prime is 21916734839. The next prime is 21916734863. The reversal of 21916734840 is 4843761912.

21916734840 is a `hidden beast` number, since 2 + 1 + 9 + 167 + 3 + 484 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 225945672 + ... + 225945768.

It is an arithmetic number, because the mean of its divisors is an integer number (68428500).

Almost surely, 2^21916734840 is an apocalyptic number.

21916734840 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 21916734840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553088000).

21916734840 is an abundant number, since it is smaller than the sum of its proper divisors (83189441160).

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

21916734840 is a wasteful number, since it uses less digits than its factorization.

21916734840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21916734840 in words is "twenty-one billion, nine hundred sixteen million, seven hundred thirty-four thousand, eight hundred forty".