359287211796480 has 960 divisors, whose sum is σ = 1431378028080000. Its totient is φ = 85456420208640.

The previous prime is 359287211796467. The next prime is 359287211796503. The reversal of 359287211796480 is 84697112782953.

359287211796480 is a `hidden beast` number, since 3 + 5 + 9 + 2 + 8 + 72 + 1 + 1 + 79 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 359287211796399 and 359287211796408.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483192021 + ... + 483935019.

It is an arithmetic number, because the mean of its divisors is an integer number (1491018779250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅359287211796480 = 718574423592960, but 3⋅359287211796480 = 1077861635389440 is not.

Almost surely, 2^{359287211796480} is an apocalyptic number.

359287211796480 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 359287211796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715689014040000).

359287211796480 is an abundant number, since it is smaller than the sum of its proper divisors (1072090816283520).

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

359287211796480 is a wasteful number, since it uses less digits than its factorization.

359287211796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743102 (or 743073 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 359287211796480 in words is "three hundred fifty-nine trillion, two hundred eighty-seven billion, two hundred eleven million, seven hundred ninety-six thousand, four hundred eighty".