27951011946 has 96 divisors (see below), whose sum is σ = 71948036160. Its totient is φ = 7730553600.

The previous prime is 27951011927. The next prime is 27951011969. The reversal of 27951011946 is 64911015972.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168081 + ... + 290091.

It is an arithmetic number, because the mean of its divisors is an integer number (749458710).

Almost surely, 2^27951011946 is an apocalyptic number.

27951011946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27951011946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35974018080).

27951011946 is an abundant number, since it is smaller than the sum of its proper divisors (43997024214).

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

27951011946 is a wasteful number, since it uses less digits than its factorization.

27951011946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122132 (or 122129 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 27951011946 in words is "twenty-seven billion, nine hundred fifty-one million, eleven thousand, nine hundred forty-six".