27671120400 has 240 divisors, whose sum is σ = 110512355328. Its totient is φ = 5749824000.

The previous prime is 27671120387. The next prime is 27671120417. The reversal of 27671120400 is 402117672.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 57336 + ... + 242135.

Almost surely, 2^27671120400 is an apocalyptic number.

27671120400 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 27671120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256177664).

27671120400 is an abundant number, since it is smaller than the sum of its proper divisors (82841234928).

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

27671120400 is a wasteful number, since it uses less digits than its factorization.

27671120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299510 (or 299499 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 27671120400 in words is "twenty-seven billion, six hundred seventy-one million, one hundred twenty thousand, four hundred".