21846534540 has 96 divisors (see below), whose sum is σ = 61864798464. Its totient is φ = 5759819520.

The previous prime is 21846534517. The next prime is 21846534553. The reversal of 21846534540 is 4543564812.

It is a junction number, because it is equal to n+sod(n) for n = 21846534492 and 21846534501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3508630 + ... + 3514850.

It is an arithmetic number, because the mean of its divisors is an integer number (644424984).

Almost surely, 2^21846534540 is an apocalyptic number.

21846534540 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 21846534540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30932399232).

21846534540 is an abundant number, since it is smaller than the sum of its proper divisors (40018263924).

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

21846534540 is a wasteful number, since it uses less digits than its factorization.

21846534540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 21846534540 in words is "twenty-one billion, eight hundred forty-six million, five hundred thirty-four thousand, five hundred forty".