21810284052480 has 4320 divisors, whose sum is σ = 106984504553472. Its totient is φ = 4127824281600.

The previous prime is 21810284052443. The next prime is 21810284052517. The reversal of 21810284052480 is 8425048201812.

It is a happy number.

21810284052480 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 0 + 2 + 8 + 40 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (21810284052443) and next prime (21810284052517).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×21810284052480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 703557550065 + ... + 703557550095.

Almost surely, 2^{21810284052480} is an apocalyptic number.

21810284052480 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 21810284052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492252276736).

21810284052480 is an abundant number, since it is smaller than the sum of its proper divisors (85174220500992).

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

21810284052480 is an frugal number, since it uses more digits than its factorization.

21810284052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 21810284052480 in words is "twenty-one trillion, eight hundred ten billion, two hundred eighty-four million, fifty-two thousand, four hundred eighty".