21214453465260 has 288 divisors, whose sum is σ = 71550280488960. Its totient is φ = 5044486924800.

The previous prime is 21214453465211. The next prime is 21214453465291. The reversal of 21214453465260 is 6256435441212.

It is a happy number.

21214453465260 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 4 + 534 + 6 + 52 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 43115389 + ... + 43604651.

It is an arithmetic number, because the mean of its divisors is an integer number (248438473920).

Almost surely, 2^{21214453465260} is an apocalyptic number.

21214453465260 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 21214453465260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35775140244480).

21214453465260 is an abundant number, since it is smaller than the sum of its proper divisors (50335827023700).

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

21214453465260 is a wasteful number, since it uses less digits than its factorization.

21214453465260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489709 (or 489704 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 21214453465260 in words is "twenty-one trillion, two hundred fourteen billion, four hundred fifty-three million, four hundred sixty-five thousand, two hundred sixty".