27952436512 has 288 divisors, whose sum is σ = 76014288000. Its totient is φ = 10046615040.

The previous prime is 27952436467. The next prime is 27952436543. The reversal of 27952436512 is 21563425972.

It is a super-2 number, since 2×27952436512² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17264439 + ... + 17266057.

It is an arithmetic number, because the mean of its divisors is an integer number (263938500).

Almost surely, 2^27952436512 is an apocalyptic number.

27952436512 is a gapful number since it is divisible by the number (22) 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 27952436512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38007144000).

27952436512 is an abundant number, since it is smaller than the sum of its proper divisors (48061851488).

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

27952436512 is a wasteful number, since it uses less digits than its factorization.

27952436512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1652 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

It can be divided in two parts, 27952 and 436512, that added together give a palindrome (464464).

The spelling of 27952436512 in words is "twenty-seven billion, nine hundred fifty-two million, four hundred thirty-six thousand, five hundred twelve".