355000790826000 has 1280 divisors, whose sum is σ = 1397148255360000. Its totient is φ = 85451977728000.

The previous prime is 355000790825983. The next prime is 355000790826053. The reversal of 355000790826000 is 628097000553.

It is a happy number.

355000790826000 is a `hidden beast` number, since 3 + 5 + 500 + 0 + 7 + 9 + 0 + 82 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×355000790826000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 52914110646 + ... + 52914117354.

It is an arithmetic number, because the mean of its divisors is an integer number (1091522074500).

Almost surely, 2^{355000790826000} is an apocalyptic number.

355000790826000 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 355000790826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698574127680000).

355000790826000 is an abundant number, since it is smaller than the sum of its proper divisors (1042147464534000).

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

355000790826000 is a wasteful number, since it uses less digits than its factorization.

355000790826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 355000790826000 in words is "three hundred fifty-five trillion, seven hundred ninety million, eight hundred twenty-six thousand".