353898625920 has 256 divisors, whose sum is σ = 1298483827200. Its totient is φ = 80308740096.

The previous prime is 353898625901. The next prime is 353898625937. The reversal of 353898625920 is 29526898353.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1773442 + ... + 1962878.

It is an arithmetic number, because the mean of its divisors is an integer number (5072202450).

Almost surely, 2^353898625920 is an apocalyptic number.

353898625920 is a gapful number since it is divisible by the number (30) 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 353898625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649241913600).

353898625920 is an abundant number, since it is smaller than the sum of its proper divisors (944585201280).

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

353898625920 is a wasteful number, since it uses less digits than its factorization.

353898625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189605 (or 189593 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 353898625920 in words is "three hundred fifty-three billion, eight hundred ninety-eight million, six hundred twenty-five thousand, nine hundred twenty".