353087490761280 has 448 divisors, whose sum is σ = 1365966336245760. Its totient is φ = 85148811417600.

The previous prime is 353087490761267. The next prime is 353087490761339. The reversal of 353087490761280 is 82167094780353.

353087490761280 is a `hidden beast` number, since 3 + 5 + 3 + 0 + 8 + 7 + 4 + 9 + 0 + 7 + 612 + 8 + 0 = 666.

It is a super-2 number, since 2×353087490761280² (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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8427127 + ... + 27878153.

It is a 1-persistent number, because it is pandigital, but 2⋅353087490761280 = 706174981522560 is not.

Almost surely, 2^{353087490761280} is an apocalyptic number.

353087490761280 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 353087490761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682983168122880).

353087490761280 is an abundant number, since it is smaller than the sum of its proper divisors (1012878845484480).

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

353087490761280 is a wasteful number, since it uses less digits than its factorization.

353087490761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19451255 (or 19451239 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 353087490761280 in words is "three hundred fifty-three trillion, eighty-seven billion, four hundred ninety million, seven hundred sixty-one thousand, two hundred eighty".