27953968677040 has 160 divisors (see below), whose sum is σ = 77754790803456. Its totient is φ = 9138222213120.

The previous prime is 27953968676951. The next prime is 27953968677053. The reversal of 27953968677040 is 4077686935972.

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, 564445 + ... + 7498435.

Almost surely, 2^{27953968677040} is an apocalyptic number.

27953968677040 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 27953968677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38877395401728).

27953968677040 is an abundant number, since it is smaller than the sum of its proper divisors (49800822126416).

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

27953968677040 is a wasteful number, since it uses less digits than its factorization.

27953968677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934347 (or 6934341 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 73.

The spelling of 27953968677040 in words is "twenty-seven trillion, nine hundred fifty-three billion, nine hundred sixty-eight million, six hundred seventy-seven thousand, forty".