352779553996800 has 2592 divisors, whose sum is σ = 1533818709319680. Its totient is φ = 69578470195200.

The previous prime is 352779553996799. The next prime is 352779553996811. The reversal of 352779553996800 is 8699355977253.

It is a super-2 number, since 2×352779553996800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11379985612785 + ... + 11379985612815.

Almost surely, 2^{352779553996800} is an apocalyptic number.

352779553996800 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 352779553996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766909354659840).

352779553996800 is an abundant number, since it is smaller than the sum of its proper divisors (1181039155322880).

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

352779553996800 is an frugal number, since it uses more digits than its factorization.

352779553996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3857868000, while the sum is 78.

The spelling of 352779553996800 in words is "three hundred fifty-two trillion, seven hundred seventy-nine billion, five hundred fifty-three million, nine hundred ninety-six thousand, eight hundred".