27225429073920 has 4480 divisors, whose sum is σ = 131538766233600. Its totient is φ = 5217111244800.

The previous prime is 27225429073891. The next prime is 27225429073933. The reversal of 27225429073920 is 2937092452272.

27225429073920 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 542 + 9 + 0 + 7 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 344625684441 + ... + 344625684519.

Almost surely, 2^{27225429073920} is an apocalyptic number.

27225429073920 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 27225429073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65769383116800).

27225429073920 is an abundant number, since it is smaller than the sum of its proper divisors (104313337159680).

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

27225429073920 is a wasteful number, since it uses less digits than its factorization.

27225429073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27225429073920 in words is "twenty-seven trillion, two hundred twenty-five billion, four hundred twenty-nine million, seventy-three thousand, nine hundred twenty".