27960660000 has 960 divisors, whose sum is σ = 125644780800. Its totient is φ = 5889024000.

The previous prime is 27960659999. The next prime is 27960660017. The reversal of 27960660000 is 6606972.

27960660000 = T₂₄₇₄₄ + T₂₄₇₄₅ + ... + T₂₄₈₃₄.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49139716 + ... + 49140284.

It is an arithmetic number, because the mean of its divisors is an integer number (130879980).

Almost surely, 2^27960660000 is an apocalyptic number.

27960660000 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 27960660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62822390400).

27960660000 is an abundant number, since it is smaller than the sum of its proper divisors (97684120800).

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

27960660000 is a wasteful number, since it uses less digits than its factorization.

27960660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 27960660000 in words is "twenty-seven billion, nine hundred sixty million, six hundred sixty thousand".