27948939480 has 288 divisors, whose sum is σ = 115270730640. Its totient is φ = 5807531520.

The previous prime is 27948939467. The next prime is 27948939497. The reversal of 27948939480 is 8493984972.

27948939480 is a `hidden beast` number, since 2 + 7 + 94 + 89 + 394 + 80 = 666.

It is a super-2 number, since 2×27948939480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122022 + ... + 266058.

Almost surely, 2^27948939480 is an apocalyptic number.

27948939480 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 27948939480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57635365320).

27948939480 is an abundant number, since it is smaller than the sum of its proper divisors (87321791160).

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

27948939480 is a wasteful number, since it uses less digits than its factorization.

27948939480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144079 (or 144065 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 27948939480 in words is "twenty-seven billion, nine hundred forty-eight million, nine hundred thirty-nine thousand, four hundred eighty".