355622952960 has 1792 divisors, whose sum is σ = 1521936138240. Its totient is φ = 77856768000.

The previous prime is 355622952901. The next prime is 355622953057. The reversal of 355622952960 is 69259226553.

355622952960 is a `hidden beast` number, since 3 + 5 + 5 + 62 + 295 + 296 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 355622952897 and 355622952906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8673730540 + ... + 8673730580.

It is an arithmetic number, because the mean of its divisors is an integer number (849294720).

Almost surely, 2^355622952960 is an apocalyptic number.

355622952960 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 355622952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760968069120).

355622952960 is an abundant number, since it is smaller than the sum of its proper divisors (1166313185280).

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

355622952960 is a wasteful number, since it uses less digits than its factorization.

355622952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 355622952960 in words is "three hundred fifty-five billion, six hundred twenty-two million, nine hundred fifty-two thousand, nine hundred sixty".