21431515105000 has 320 divisors, whose sum is σ = 67420265109120. Its totient is φ = 6166108800000.

The previous prime is 21431515104973. The next prime is 21431515105019. The reversal of 21431515105000 is 50151513412.

It is a super-2 number, since 2×21431515105000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21431515105000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2863990 + ... + 7146010.

It is an arithmetic number, because the mean of its divisors is an integer number (210688328466).

Almost surely, 2^{21431515105000} is an apocalyptic number.

21431515105000 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 21431515105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33710132554560).

21431515105000 is an abundant number, since it is smaller than the sum of its proper divisors (45988750004120).

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

21431515105000 is a wasteful number, since it uses less digits than its factorization.

21431515105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282078 (or 4282059 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 21431515105000 its reverse (50151513412), we get a palindrome (21481666618412).

The spelling of 21431515105000 in words is "twenty-one trillion, four hundred thirty-one billion, five hundred fifteen million, one hundred five thousand".