27788953500 has 1440 divisors, whose sum is σ = 122914471680. Its totient is φ = 5388768000.

The previous prime is 27788953471. The next prime is 27788953541. The reversal of 27788953500 is 535988772.

27788953500 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 89 + 53 + 500 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 414760467 + ... + 414760533.

It is an arithmetic number, because the mean of its divisors is an integer number (85357272).

Almost surely, 2^27788953500 is an apocalyptic number.

27788953500 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 27788953500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61457235840).

27788953500 is an abundant number, since it is smaller than the sum of its proper divisors (95125518180).

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

27788953500 is a wasteful number, since it uses less digits than its factorization.

27788953500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 27788953500 in words is "twenty-seven billion, seven hundred eighty-eight million, nine hundred fifty-three thousand, five hundred".