20257727075120 has 40 divisors (see below), whose sum is σ = 47136040719360. Its totient is φ = 8096755299840.

The previous prime is 20257727075119. The next prime is 20257727075137. The reversal of 20257727075120 is 2157072775202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98889701 + ... + 99094340.

It is an arithmetic number, because the mean of its divisors is an integer number (1178401017984).

Almost surely, 2^{20257727075120} is an apocalyptic number.

20257727075120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20257727075120 is an abundant number, since it is smaller than the sum of its proper divisors (26878313644240).

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

20257727075120 is a wasteful number, since it uses less digits than its factorization.

20257727075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197985333 (or 197985327 counting only the distinct ones).

The product of its (nonzero) digits is 960400, while the sum is 47.

The spelling of 20257727075120 in words is "twenty trillion, two hundred fifty-seven billion, seven hundred twenty-seven million, seventy-five thousand, one hundred twenty".