361152211905780 has 192 divisors, whose sum is σ = 1056423484569600. Its totient is φ = 92012577226240.

The previous prime is 361152211905773. The next prime is 361152211905781. The reversal of 361152211905780 is 87509112251163.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361152211905781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4845627115 + ... + 4845701645.

It is an arithmetic number, because the mean of its divisors is an integer number (5502205648800).

Almost surely, 2^{361152211905780} is an apocalyptic number.

361152211905780 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 361152211905780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528211742284800).

361152211905780 is an abundant number, since it is smaller than the sum of its proper divisors (695271272663820).

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

361152211905780 is a wasteful number, since it uses less digits than its factorization.

361152211905780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78614 (or 78612 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 361152211905780 in words is "three hundred sixty-one trillion, one hundred fifty-two billion, two hundred eleven million, nine hundred five thousand, seven hundred eighty".