353029150080 has 384 divisors, whose sum is σ = 1247060992320. Its totient is φ = 91992735744.

The previous prime is 353029150037. The next prime is 353029150087. The reversal of 353029150080 is 80051920353.

353029150080 is a `hidden beast` number, since 3 + 53 + 0 + 29 + 1 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353029150087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80286442 + ... + 80290838.

Almost surely, 2^353029150080 is an apocalyptic number.

353029150080 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 353029150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623530496160).

353029150080 is an abundant number, since it is smaller than the sum of its proper divisors (894031842240).

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

353029150080 is a wasteful number, since it uses less digits than its factorization.

353029150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 353029150080 in words is "three hundred fifty-three billion, twenty-nine million, one hundred fifty thousand, eighty".