355221504000 has 1152 divisors, whose sum is σ = 1452565820160. Its totient is φ = 84934656000.

The previous prime is 355221503981. The next prime is 355221504019. The reversal of 355221504000 is 405122553.

It is a happy number.

355221504000 is a `hidden beast` number, since 3 + 552 + 21 + 50 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (355221503981) and next prime (355221504019).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4866047964 + ... + 4866048036.

It is an arithmetic number, because the mean of its divisors is an integer number (1260907830).

Almost surely, 2^355221504000 is an apocalyptic number.

355221504000 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 355221504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726282910080).

355221504000 is an abundant number, since it is smaller than the sum of its proper divisors (1097344316160).

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

355221504000 is an frugal number, since it uses more digits than its factorization.

355221504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 355221504000 its reverse (405122553), we get a palindrome (355626626553).

The spelling of 355221504000 in words is "three hundred fifty-five billion, two hundred twenty-one million, five hundred four thousand".