20280309120 has 768 divisors, whose sum is σ = 79362201600. Its totient is φ = 4888166400.

The previous prime is 20280309113. The next prime is 20280309149. The reversal of 20280309120 is 2190308202.

It is a happy number.

It is a super-2 number, since 2×20280309120² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 154811455 + ... + 154811585.

It is an arithmetic number, because the mean of its divisors is an integer number (103336200).

Almost surely, 2^20280309120 is an apocalyptic number.

20280309120 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 20280309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39681100800).

20280309120 is an abundant number, since it is smaller than the sum of its proper divisors (59081892480).

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

20280309120 is a wasteful number, since it uses less digits than its factorization.

20280309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20280309120 in words is "twenty billion, two hundred eighty million, three hundred nine thousand, one hundred twenty".