27651486720 has 352 divisors, whose sum is σ = 103911615360. Its totient is φ = 6187253760.

The previous prime is 27651486703. The next prime is 27651486743. The reversal of 27651486720 is 2768415672.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27651486720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190186 + ... + 2202774.

Almost surely, 2^27651486720 is an apocalyptic number.

27651486720 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 27651486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51955807680).

27651486720 is an abundant number, since it is smaller than the sum of its proper divisors (76260128640).

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

27651486720 is a wasteful number, since it uses less digits than its factorization.

27651486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12623 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 27651486720 in words is "twenty-seven billion, six hundred fifty-one million, four hundred eighty-six thousand, seven hundred twenty".