238576980096 has 768 divisors, whose sum is σ = 904853913600. Its totient is φ = 60869283840.

The previous prime is 238576980079. The next prime is 238576980113. The reversal of 238576980096 is 690089675832.

It is an interprime number because it is at equal distance from previous prime (238576980079) and next prime (238576980113).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 87743025 + ... + 87745743.

It is an arithmetic number, because the mean of its divisors is an integer number (1178195200).

Almost surely, 2^238576980096 is an apocalyptic number.

238576980096 is a gapful number since it is divisible by the number (26) 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 238576980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452426956800).

238576980096 is an abundant number, since it is smaller than the sum of its proper divisors (666276933504).

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

238576980096 is a wasteful number, since it uses less digits than its factorization.

238576980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 238576980096 in words is "two hundred thirty-eight billion, five hundred seventy-six million, nine hundred eighty thousand, ninety-six".