21480232579200 has 1536 divisors, whose sum is σ = 83984338944000. Its totient is φ = 5346284912640.

The previous prime is 21480232579189. The next prime is 21480232579231. The reversal of 21480232579200 is 297523208412.

21480232579200 is a `hidden beast` number, since 2 + 1 + 48 + 0 + 2 + 32 + 579 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×21480232579200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41071190139 + ... + 41071190661.

It is an arithmetic number, because the mean of its divisors is an integer number (54677304000).

Almost surely, 2^{21480232579200} is an apocalyptic number.

21480232579200 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 21480232579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41992169472000).

21480232579200 is an abundant number, since it is smaller than the sum of its proper divisors (62504106364800).

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

21480232579200 is a wasteful number, since it uses less digits than its factorization.

21480232579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21480232579200 in words is "twenty-one trillion, four hundred eighty billion, two hundred thirty-two million, five hundred seventy-nine thousand, two hundred".