27190229713920 has 4224 divisors, whose sum is σ = 127156960100352. Its totient is φ = 5417769369600.

The previous prime is 27190229713901. The next prime is 27190229713921. The reversal of 27190229713920 is 2931792209172.

It is a happy number.

27190229713920 is a `hidden beast` number, since 27 + 1 + 9 + 0 + 229 + 7 + 1 + 392 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27190229713921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 214096296897 + ... + 214096297023.

Almost surely, 2^{27190229713920} is an apocalyptic number.

27190229713920 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 27190229713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63578480050176).

27190229713920 is an abundant number, since it is smaller than the sum of its proper divisors (99966730386432).

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

27190229713920 is a wasteful number, since it uses less digits than its factorization.

27190229713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 27190229713920 in words is "twenty-seven trillion, one hundred ninety billion, two hundred twenty-nine million, seven hundred thirteen thousand, nine hundred twenty".