27494925120 has 672 divisors, whose sum is σ = 107640973440. Its totient is φ = 6638837760.

The previous prime is 27494925113. The next prime is 27494925149. The reversal of 27494925120 is 2152949472.

27494925120 is a `hidden beast` number, since 2 + 7 + 49 + 4 + 92 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59641690 + ... + 59642150.

It is an arithmetic number, because the mean of its divisors is an integer number (160180020).

Almost surely, 2^27494925120 is an apocalyptic number.

27494925120 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 27494925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820486720).

27494925120 is an abundant number, since it is smaller than the sum of its proper divisors (80146048320).

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

27494925120 is a wasteful number, since it uses less digits than its factorization.

27494925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27494925120 in words is "twenty-seven billion, four hundred ninety-four million, nine hundred twenty-five thousand, one hundred twenty".