21463255015200 has 432 divisors, whose sum is σ = 79745861875680. Its totient is φ = 5417011261440.

The previous prime is 21463255015199. The next prime is 21463255015261. The reversal of 21463255015200 is 251055236412.

21463255015200 is a `hidden beast` number, since 2 + 1 + 4 + 63 + 25 + 50 + 1 + 520 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 141238459 + ... + 141390341.

It is an arithmetic number, because the mean of its divisors is an integer number (184596902490).

Almost surely, 2^{21463255015200} is an apocalyptic number.

21463255015200 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 21463255015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39872930937840).

21463255015200 is an abundant number, since it is smaller than the sum of its proper divisors (58282606860480).

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

21463255015200 is a wasteful number, since it uses less digits than its factorization.

21463255015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152961 (or 152945 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 21463255015200 in words is "twenty-one trillion, four hundred sixty-three billion, two hundred fifty-five million, fifteen thousand, two hundred".