27273788942400 has 3024 divisors, whose sum is σ = 136920943165440. Its totient is φ = 5230697472000.

The previous prime is 27273788942371. The next prime is 27273788942419. The reversal of 27273788942400 is 424988737272.

It is a happy number.

27273788942400 is a `hidden beast` number, since 2 + 7 + 2 + 73 + 78 + 8 + 94 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3329722305 + ... + 3329730495.

Almost surely, 2^{27273788942400} is an apocalyptic number.

27273788942400 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 27273788942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68460471582720).

27273788942400 is an abundant number, since it is smaller than the sum of its proper divisors (109647154223040).

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

27273788942400 is a wasteful number, since it uses less digits than its factorization.

27273788942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 27273788942400 in words is "twenty-seven trillion, two hundred seventy-three billion, seven hundred eighty-eight million, nine hundred forty-two thousand, four hundred".