2355581957680 has 160 divisors (see below), whose sum is σ = 6560893075968. Its totient is φ = 769605580800.

The previous prime is 2355581957669. The next prime is 2355581957699. The reversal of 2355581957680 is 867591855532.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205686 + ... + 2180245.

Almost surely, 2^{2355581957680} is an apocalyptic number.

2355581957680 is a gapful number since it is divisible by the number (20) 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 2355581957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280446537984).

2355581957680 is an abundant number, since it is smaller than the sum of its proper divisors (4205311118288).

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

2355581957680 is a wasteful number, since it uses less digits than its factorization.

2355581957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386035 (or 2386029 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 64.

The spelling of 2355581957680 in words is "two trillion, three hundred fifty-five billion, five hundred eighty-one million, nine hundred fifty-seven thousand, six hundred eighty".