355900005825 has 288 divisors, whose sum is σ = 757552763520. Its totient is φ = 146080972800.

The previous prime is 355900005781. The next prime is 355900005829. The reversal of 355900005825 is 528500009553.

It is not a de Polignac number, because 355900005825 - 2⁶ = 355900005761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (355900005829) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 282684046 + ... + 282685304.

It is an arithmetic number, because the mean of its divisors is an integer number (2630391540).

Almost surely, 2^355900005825 is an apocalyptic number.

355900005825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

355900005825 is an abundant number, since it is smaller than the sum of its proper divisors (401652757695).

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

355900005825 is a wasteful number, since it uses less digits than its factorization.

355900005825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 355900005825 in words is "three hundred fifty-five billion, nine hundred million, five thousand, eight hundred twenty-five".