20110970880 has 1248 divisors, whose sum is σ = 94454680320. Its totient is φ = 3822059520.

The previous prime is 20110970849. The next prime is 20110970911. The reversal of 20110970880 is 8807901102.

It is an interprime number because it is at equal distance from previous prime (20110970849) and next prime (20110970911).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×20110970880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184504266 + ... + 184504374.

It is an arithmetic number, because the mean of its divisors is an integer number (75684840).

Almost surely, 2^20110970880 is an apocalyptic number.

20110970880 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 20110970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47227340160).

20110970880 is an abundant number, since it is smaller than the sum of its proper divisors (74343709440).

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

20110970880 is a wasteful number, since it uses less digits than its factorization.

20110970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 20110970880 in words is "twenty billion, one hundred ten million, nine hundred seventy thousand, eight hundred eighty".