27955702440 has 192 divisors, whose sum is σ = 95956660800. Its totient is φ = 7038959616.

The previous prime is 27955702417. The next prime is 27955702469. The reversal of 27955702440 is 4420755972.

27955702440 is a `hidden beast` number, since 2 + 79 + 5 + 570 + 2 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093224 + ... + 2106536.

It is an arithmetic number, because the mean of its divisors is an integer number (499774275).

Almost surely, 2^27955702440 is an apocalyptic number.

27955702440 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 27955702440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47978330400).

27955702440 is an abundant number, since it is smaller than the sum of its proper divisors (68000958360).

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

27955702440 is a wasteful number, since it uses less digits than its factorization.

27955702440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 27955702440 in words is "twenty-seven billion, nine hundred fifty-five million, seven hundred two thousand, four hundred forty".