355655680800 has 864 divisors, whose sum is σ = 1460994615360. Its totient is φ = 74627481600.

The previous prime is 355655680763. The next prime is 355655680801. The reversal of 355655680800 is 8086556553.

It is a super-2 number, since 2×355655680800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (355655680801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 81965031 + ... + 81969369.

It is an arithmetic number, because the mean of its divisors is an integer number (1690965990).

Almost surely, 2^355655680800 is an apocalyptic number.

355655680800 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 355655680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730497307680).

355655680800 is an abundant number, since it is smaller than the sum of its proper divisors (1105338934560).

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

355655680800 is a wasteful number, since it uses less digits than its factorization.

355655680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 51.

The spelling of 355655680800 in words is "three hundred fifty-five billion, six hundred fifty-five million, six hundred eighty thousand, eight hundred".