20115670511100 has 144 divisors (see below), whose sum is σ = 58321622177280. Its totient is φ = 5353099852800.

The previous prime is 20115670511087. The next prime is 20115670511197. The reversal of 20115670511100 is 111507651102.

It is a super-2 number, since 2×20115670511100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501480045 + ... + 501520155.

It is an arithmetic number, because the mean of its divisors is an integer number (405011265120).

Almost surely, 2^{20115670511100} is an apocalyptic number.

20115670511100 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 20115670511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29160811088640).

20115670511100 is an abundant number, since it is smaller than the sum of its proper divisors (38205951666180).

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

20115670511100 is a wasteful number, since it uses less digits than its factorization.

20115670511100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43540 (or 43533 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 30.

The spelling of 20115670511100 in words is "twenty trillion, one hundred fifteen billion, six hundred seventy million, five hundred eleven thousand, one hundred".