27651891680 has 384 divisors, whose sum is σ = 83752704000. Its totient is φ = 8583708672.

The previous prime is 27651891679. The next prime is 27651891697. The reversal of 27651891680 is 8619815672.

It is a super-2 number, since 2×27651891680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23981984 + ... + 23983136.

It is an arithmetic number, because the mean of its divisors is an integer number (218106000).

Almost surely, 2^27651891680 is an apocalyptic number.

27651891680 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 27651891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41876352000).

27651891680 is an abundant number, since it is smaller than the sum of its proper divisors (56100812320).

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

27651891680 is a wasteful number, since it uses less digits than its factorization.

27651891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 27651891680 in words is "twenty-seven billion, six hundred fifty-one million, eight hundred ninety-one thousand, six hundred eighty".