355200405132000 has 192 divisors, whose sum is σ = 1176711098472000. Its totient is φ = 93655836876800.

The previous prime is 355200405131963. The next prime is 355200405132007. The reversal of 355200405132000 is 231504002553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355200405132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165224325 + ... + 167360324.

It is an arithmetic number, because the mean of its divisors is an integer number (6128703637875).

Almost surely, 2^{355200405132000} is an apocalyptic number.

355200405132000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355200405132000 is an abundant number, since it is smaller than the sum of its proper divisors (821510693340000).

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

355200405132000 is a wasteful number, since it uses less digits than its factorization.

355200405132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332584766 (or 332584748 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 355200405132000 its reverse (231504002553), we get a palindrome (355431909134553).

The spelling of 355200405132000 in words is "three hundred fifty-five trillion, two hundred billion, four hundred five million, one hundred thirty-two thousand".