27858141696 has 960 divisors, whose sum is σ = 104493312000. Its totient is φ = 6556999680.

The previous prime is 27858141643. The next prime is 27858141697. The reversal of 27858141696 is 69614185872.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27858141697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211223541 + ... + 1211223563.

It is an arithmetic number, because the mean of its divisors is an integer number (108847200).

Almost surely, 2^27858141696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27858141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656000).

27858141696 is an abundant number, since it is smaller than the sum of its proper divisors (76635170304).

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

27858141696 is a wasteful number, since it uses less digits than its factorization.

27858141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 27858141696 in words is "twenty-seven billion, eight hundred fifty-eight million, one hundred forty-one thousand, six hundred ninety-six".