21272150016 has 420 divisors, whose sum is σ = 69193287492. Its totient is φ = 6497501184.

The previous prime is 21272149991. The next prime is 21272150023. The reversal of 21272150016 is 61005127212.

21272150016 is a `hidden beast` number, since 2 + 127 + 21 + 500 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7464960000 + 13807190016 = 86400^2 + 117504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 155271100 + ... + 155271236.

Almost surely, 2^21272150016 is an apocalyptic number.

21272150016 is a gapful number since it is divisible by the number (26) 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 21272150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34596643746).

21272150016 is an abundant number, since it is smaller than the sum of its proper divisors (47921137476).

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

21272150016 is an frugal number, since it uses more digits than its factorization.

21272150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 21272150016 its reverse (61005127212), we get a palindrome (82277277228).

The spelling of 21272150016 in words is "twenty-one billion, two hundred seventy-two million, one hundred fifty thousand, sixteen".