27072979920 has 960 divisors, whose sum is σ = 116905850880. Its totient is φ = 5683820544.

The previous prime is 27072979919. The next prime is 27072979931. The reversal of 27072979920 is 2997927072.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95664099 + ... + 95664381.

It is an arithmetic number, because the mean of its divisors is an integer number (121776928).

Almost surely, 2^27072979920 is an apocalyptic number.

27072979920 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 27072979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58452925440).

27072979920 is an abundant number, since it is smaller than the sum of its proper divisors (89832870960).

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

27072979920 is a wasteful number, since it uses less digits than its factorization.

27072979920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 27072979920 in words is "twenty-seven billion, seventy-two million, nine hundred seventy-nine thousand, nine hundred twenty".