235145991050880 has 1024 divisors, whose sum is σ = 983230756945920. Its totient is φ = 46385469849600.

The previous prime is 235145991050879. The next prime is 235145991050939. The reversal of 235145991050880 is 88050199541532.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448244097 + ... + 448768383.

It is an arithmetic number, because the mean of its divisors is an integer number (960186286080).

Almost surely, 2^{235145991050880} is an apocalyptic number.

235145991050880 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 235145991050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491615378472960).

235145991050880 is an abundant number, since it is smaller than the sum of its proper divisors (748084765895040).

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

235145991050880 is a wasteful number, since it uses less digits than its factorization.

235145991050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524497 (or 524485 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 60.

The spelling of 235145991050880 in words is "two hundred thirty-five trillion, one hundred forty-five billion, nine hundred ninety-one million, fifty thousand, eight hundred eighty".