27955672920 has 384 divisors, whose sum is σ = 110140093440. Its totient is φ = 6011089920.

The previous prime is 27955672919. The next prime is 27955672999. The reversal of 27955672920 is 2927655972.

27955672920 is a `hidden beast` number, since 2 + 79 + 5 + 567 + 2 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3531607 + ... + 3539513.

It is an arithmetic number, because the mean of its divisors is an integer number (286823160).

Almost surely, 2^27955672920 is an apocalyptic number.

27955672920 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 27955672920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55070046720).

27955672920 is an abundant number, since it is smaller than the sum of its proper divisors (82184420520).

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

27955672920 is a wasteful number, since it uses less digits than its factorization.

27955672920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 27955672920 in words is "twenty-seven billion, nine hundred fifty-five million, six hundred seventy-two thousand, nine hundred twenty".