21058440480 has 1536 divisors, whose sum is σ = 99283968000. Its totient is φ = 4041031680.

The previous prime is 21058440467. The next prime is 21058440497. The reversal of 21058440480 is 8404485012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 356922691 + ... + 356922749.

It is an arithmetic number, because the mean of its divisors is an integer number (64638000).

Almost surely, 2^21058440480 is an apocalyptic number.

21058440480 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 21058440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641984000).

21058440480 is an abundant number, since it is smaller than the sum of its proper divisors (78225527520).

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

21058440480 is a wasteful number, since it uses less digits than its factorization.

21058440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 21058440480 in words is "twenty-one billion, fifty-eight million, four hundred forty thousand, four hundred eighty".