238780651680 has 480 divisors, whose sum is σ = 891869045760. Its totient is φ = 59995883520.

The previous prime is 238780651633. The next prime is 238780651723. The reversal of 238780651680 is 86156087832.

238780651680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47029302 + ... + 47034378.

It is an arithmetic number, because the mean of its divisors is an integer number (1858060512).

Almost surely, 2^238780651680 is an apocalyptic number.

238780651680 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 238780651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445934522880).

238780651680 is an abundant number, since it is smaller than the sum of its proper divisors (653088394080).

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

238780651680 is a wasteful number, since it uses less digits than its factorization.

238780651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 238780651680 in words is "two hundred thirty-eight billion, seven hundred eighty million, six hundred fifty-one thousand, six hundred eighty".