355882556640 has 192 divisors, whose sum is σ = 1207693670400. Its totient is φ = 87570622464.

The previous prime is 355882556599. The next prime is 355882556681. The reversal of 355882556640 is 46655288553.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (355882556599) and next prime (355882556681).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20951671 + ... + 20968649.

It is an arithmetic number, because the mean of its divisors is an integer number (6290071200).

Almost surely, 2^355882556640 is an apocalyptic number.

355882556640 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 355882556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603846835200).

355882556640 is an abundant number, since it is smaller than the sum of its proper divisors (851811113760).

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

355882556640 is a wasteful number, since it uses less digits than its factorization.

355882556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 57.

The spelling of 355882556640 in words is "three hundred fifty-five billion, eight hundred eighty-two million, five hundred fifty-six thousand, six hundred forty".