355896828000 has 1152 divisors, whose sum is σ = 1576342010880. Its totient is φ = 77038387200.

The previous prime is 355896827983. The next prime is 355896828011. The reversal of 355896828000 is 828698553.

355896828000 is a `hidden beast` number, since 3 + 558 + 9 + 6 + 8 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129274624 + ... + 129277376.

It is an arithmetic number, because the mean of its divisors is an integer number (1368352440).

Almost surely, 2^355896828000 is an apocalyptic number.

355896828000 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 355896828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788171005440).

355896828000 is an abundant number, since it is smaller than the sum of its proper divisors (1220445182880).

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

355896828000 is a wasteful number, since it uses less digits than its factorization.

355896828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 355896828000 in words is "three hundred fifty-five billion, eight hundred ninety-six million, eight hundred twenty-eight thousand".