21580074040 has 128 divisors (see below), whose sum is σ = 58824662400. Its totient is φ = 6955499520.

The previous prime is 21580074037. The next prime is 21580074101. The reversal of 21580074040 is 4047008512.

It is a junction number, because it is equal to n+sod(n) for n = 21580073993 and 21580074011.

It is a congruent number.

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, 5086320 + ... + 5090560.

It is an arithmetic number, because the mean of its divisors is an integer number (459567675).

Almost surely, 2^21580074040 is an apocalyptic number.

21580074040 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 21580074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29412331200).

21580074040 is an abundant number, since it is smaller than the sum of its proper divisors (37244588360).

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

21580074040 is a wasteful number, since it uses less digits than its factorization.

21580074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 21580074040 in words is "twenty-one billion, five hundred eighty million, seventy-four thousand, forty".