21479058000 has 360 divisors, whose sum is σ = 79710965880. Its totient is φ = 5389516800.

The previous prime is 21479057989. The next prime is 21479058019. The reversal of 21479058000 is 85097412.

21479058000 is a `hidden beast` number, since 2 + 1 + 4 + 79 + 0 + 580 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8411824656 + 13067233344 = 91716^2 + 114312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×21479058000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5199936 + ... + 5204064.

Almost surely, 2^21479058000 is an apocalyptic number.

21479058000 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 21479058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39855482940).

21479058000 is an abundant number, since it is smaller than the sum of its proper divisors (58231907880).

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

21479058000 is a wasteful number, since it uses less digits than its factorization.

21479058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21479058000 in words is "twenty-one billion, four hundred seventy-nine million, fifty-eight thousand".