21086312532480 has 1600 divisors, whose sum is σ = 88902447879168. Its totient is φ = 4727250616320.

The previous prime is 21086312532469. The next prime is 21086312532521. The reversal of 21086312532480 is 8423521368012.

21086312532480 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 6 + 31 + 2 + 532 + 4 + 80 = 666.

It is a super-2 number, since 2×21086312532480² (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 159 ways as a sum of consecutive naturals, for example, 1420615939 + ... + 1420630781.

Almost surely, 2^{21086312532480} is an apocalyptic number.

21086312532480 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 21086312532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44451223939584).

21086312532480 is an abundant number, since it is smaller than the sum of its proper divisors (67816135346688).

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

21086312532480 is a wasteful number, since it uses less digits than its factorization.

21086312532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14914 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21086312532480 in words is "twenty-one trillion, eighty-six billion, three hundred twelve million, five hundred thirty-two thousand, four hundred eighty".