1927272138000 has 640 divisors, whose sum is σ = 6912719843328. Its totient is φ = 458035200000.

The previous prime is 1927272137983. The next prime is 1927272138041. The reversal of 1927272138000 is 8312727291.

It is a super-2 number, since 2×1927272138000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 904396935 + ... + 904399065.

Almost surely, 2^{1927272138000} is an apocalyptic number.

1927272138000 is a gapful number since it is divisible by the number (10) 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 1927272138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456359921664).

1927272138000 is an abundant number, since it is smaller than the sum of its proper divisors (4985447705328).

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

1927272138000 is a wasteful number, since it uses less digits than its factorization.

1927272138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 1927272138000 in words is "one trillion, nine hundred twenty-seven billion, two hundred seventy-two million, one hundred thirty-eight thousand".