20870277120 has 1152 divisors, whose sum is σ = 96037643520. Its totient is φ = 4057989120.

The previous prime is 20870277097. The next prime is 20870277139. The reversal of 20870277120 is 2177207802.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 120637354 + ... + 120637526.

It is an arithmetic number, because the mean of its divisors is an integer number (83366010).

Almost surely, 2^20870277120 is an apocalyptic number.

20870277120 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 20870277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48018821760).

20870277120 is an abundant number, since it is smaller than the sum of its proper divisors (75167366400).

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

20870277120 is a wasteful number, since it uses less digits than its factorization.

20870277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 20870277120 in words is "twenty billion, eight hundred seventy million, two hundred seventy-seven thousand, one hundred twenty".