238865215680 has 3360 divisors, whose sum is σ = 1207843249536. Its totient is φ = 44144787456.

The previous prime is 238865215679. The next prime is 238865215681. The reversal of 238865215680 is 86512568832.

238865215680 is a `hidden beast` number, since 2 + 38 + 8 + 6 + 521 + 5 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (238865215679) and next prime (238865215681).

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238865215681) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6455816622 + ... + 6455816658.

Almost surely, 2^238865215680 is an apocalyptic number.

238865215680 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 238865215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603921624768).

238865215680 is an abundant number, since it is smaller than the sum of its proper divisors (968978033856).

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

238865215680 is a wasteful number, since it uses less digits than its factorization.

238865215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 238865215680 in words is "two hundred thirty-eight billion, eight hundred sixty-five million, two hundred fifteen thousand, six hundred eighty".