359487794211840 has 1320 divisors, whose sum is σ = 1455035855641680. Its totient is φ = 82061035241472.

The previous prime is 359487794211809. The next prime is 359487794211869. The reversal of 359487794211840 is 48112497784953.

359487794211840 is a `hidden beast` number, since 3 + 5 + 9 + 4 + 87 + 79 + 421 + 18 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110306164131 + ... + 110306167389.

Almost surely, 2^{359487794211840} is an apocalyptic number.

359487794211840 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 359487794211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727517927820840).

359487794211840 is an abundant number, since it is smaller than the sum of its proper divisors (1095548061429840).

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

359487794211840 is an equidigital number, since it uses as much as digits as its factorization.

359487794211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 359487794211840 in words is "three hundred fifty-nine trillion, four hundred eighty-seven billion, seven hundred ninety-four million, two hundred eleven thousand, eight hundred forty".