20111125770000 has 400 divisors, whose sum is σ = 72155946456000. Its totient is φ = 5361401088000.

The previous prime is 20111125769989. The next prime is 20111125770017. The reversal of 20111125770000 is 7752111102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1149921256 + ... + 1149938744.

It is an arithmetic number, because the mean of its divisors is an integer number (180389866140).

Almost surely, 2^{20111125770000} is an apocalyptic number.

20111125770000 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 20111125770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36077973228000).

20111125770000 is an abundant number, since it is smaller than the sum of its proper divisors (52044820686000).

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

20111125770000 is a wasteful number, since it uses less digits than its factorization.

20111125770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21785 (or 21758 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

Adding to 20111125770000 its reverse (7752111102), we get a palindrome (20118877881102).

The spelling of 20111125770000 in words is "twenty trillion, one hundred eleven billion, one hundred twenty-five million, seven hundred seventy thousand".