359001601298480 has 320 divisors, whose sum is σ = 1011391501467648. Its totient is φ = 115886292848640.

The previous prime is 359001601298441. The next prime is 359001601298489. The reversal of 359001601298480 is 84892106100953.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (359001601298489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11878408649 + ... + 11878438871.

Almost surely, 2^{359001601298480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359001601298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505695750733824).

359001601298480 is an abundant number, since it is smaller than the sum of its proper divisors (652389900169168).

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

359001601298480 is a wasteful number, since it uses less digits than its factorization.

359001601298480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48804 (or 48798 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 359001601298480 in words is "three hundred fifty-nine trillion, one billion, six hundred one million, two hundred ninety-eight thousand, four hundred eighty".