27921148295040 has 3072 divisors, whose sum is σ = 136714023936000. Its totient is φ = 5293287014400.

The previous prime is 27921148295039. The next prime is 27921148295057. The reversal of 27921148295040 is 4059284112972.

27921148295040 is a `hidden beast` number, since 2 + 7 + 92 + 1 + 1 + 48 + 2 + 9 + 504 + 0 = 666.

It is a super-2 number, since 2×27921148295040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10776204145 + ... + 10776206735.

It is an arithmetic number, because the mean of its divisors is an integer number (44503263000).

Almost surely, 2^{27921148295040} is an apocalyptic number.

27921148295040 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 27921148295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68357011968000).

27921148295040 is an abundant number, since it is smaller than the sum of its proper divisors (108792875640960).

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

27921148295040 is a wasteful number, since it uses less digits than its factorization.

27921148295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 27921148295040 in words is "twenty-seven trillion, nine hundred twenty-one billion, one hundred forty-eight million, two hundred ninety-five thousand, forty".