27958155264 has 768 divisors, whose sum is σ = 99066240000. Its totient is φ = 7707820032.

The previous prime is 27958155217. The next prime is 27958155271. The reversal of 27958155264 is 46255185972.

27958155264 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 81 + 552 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

Its product of digits (6048000) is a multiple of the sum of its prime factors (175).

It is a self number, because there is not a number n which added to its sum of digits gives 27958155264.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 314136532 + ... + 314136620.

It is an arithmetic number, because the mean of its divisors is an integer number (128992500).

Almost surely, 2^27958155264 is an apocalyptic number.

27958155264 is a gapful number since it is divisible by the number (24) 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 27958155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120000).

27958155264 is an abundant number, since it is smaller than the sum of its proper divisors (71108084736).

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

27958155264 is a wasteful number, since it uses less digits than its factorization.

27958155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 27958155264 in words is "twenty-seven billion, nine hundred fifty-eight million, one hundred fifty-five thousand, two hundred sixty-four".