21471411415680 has 1536 divisors, whose sum is σ = 80757855360000. Its totient is φ = 5446291488768.

The previous prime is 21471411415621. The next prime is 21471411415709. The reversal of 21471411415680 is 8651411417412.

21471411415680 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 1 + 41 + 1 + 41 + 568 + 0 = 666.

It is a super-2 number, since 2×21471411415680² (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, 67733158882 + ... + 67733159198.

It is an arithmetic number, because the mean of its divisors is an integer number (52576728750).

Almost surely, 2^{21471411415680} is an apocalyptic number.

21471411415680 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 21471411415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40378927680000).

21471411415680 is an abundant number, since it is smaller than the sum of its proper divisors (59286443944320).

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

21471411415680 is a wasteful number, since it uses less digits than its factorization.

21471411415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 21471411415680 in words is "twenty-one trillion, four hundred seventy-one billion, four hundred eleven million, four hundred fifteen thousand, six hundred eighty".