358960049799680 has 640 divisors, whose sum is σ = 1061281090805760. Its totient is φ = 113646250229760.

The previous prime is 358960049799667. The next prime is 358960049799691. The reversal of 358960049799680 is 86997940069853.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4247553266 + ... + 4247637774.

It is an arithmetic number, because the mean of its divisors is an integer number (1658251704384).

Almost surely, 2^{358960049799680} 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 358960049799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530640545402880).

358960049799680 is an abundant number, since it is smaller than the sum of its proper divisors (702321041006080).

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

358960049799680 is a wasteful number, since it uses less digits than its factorization.

358960049799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84820 (or 84804 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 83.

The spelling of 358960049799680 in words is "three hundred fifty-eight trillion, nine hundred sixty billion, forty-nine million, seven hundred ninety-nine thousand, six hundred eighty".