27949348959840 has 864 divisors, whose sum is σ = 119924653343040. Its totient is φ = 5802226974720.

The previous prime is 27949348959811. The next prime is 27949348959859. The reversal of 27949348959840 is 4895984394972.

27949348959840 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 9 + 3 + 489 + 5 + 98 + 40 = 666.

It is a super-2 number, since 2×27949348959840² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27949348959840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1377008572 + ... + 1377028868.

It is an arithmetic number, because the mean of its divisors is an integer number (138801682110).

Almost surely, 2^{27949348959840} is an apocalyptic number.

27949348959840 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 27949348959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59962326671520).

27949348959840 is an abundant number, since it is smaller than the sum of its proper divisors (91975304383200).

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

27949348959840 is a wasteful number, since it uses less digits than its factorization.

27949348959840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21476 (or 21454 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 27949348959840 in words is "twenty-seven trillion, nine hundred forty-nine billion, three hundred forty-eight million, nine hundred fifty-nine thousand, eight hundred forty".