239254020096 has 1344 divisors, whose sum is σ = 903649582080. Its totient is φ = 55490641920.

The previous prime is 239254020091. The next prime is 239254020121. The reversal of 239254020096 is 690020452932.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×239254020096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (239254020091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7717871601 + ... + 7717871631.

It is an arithmetic number, because the mean of its divisors is an integer number (672358320).

Almost surely, 2^239254020096 is an apocalyptic number.

239254020096 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 239254020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451824791040).

239254020096 is an abundant number, since it is smaller than the sum of its proper divisors (664395561984).

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

239254020096 is a wasteful number, since it uses less digits than its factorization.

239254020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 239254020096 in words is "two hundred thirty-nine billion, two hundred fifty-four million, twenty thousand, ninety-six".