363087890088 has 512 divisors, whose sum is σ = 1237565952000. Its totient is φ = 85899018240.

The previous prime is 363087890041. The next prime is 363087890089. The reversal of 363087890088 is 880098780363.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (363087890089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 298346056 + ... + 298347272.

It is an arithmetic number, because the mean of its divisors is an integer number (2417121000).

Almost surely, 2^363087890088 is an apocalyptic number.

363087890088 is a gapful number since it is divisible by the number (38) 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 363087890088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618782976000).

363087890088 is an abundant number, since it is smaller than the sum of its proper divisors (874478061912).

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

363087890088 is a wasteful number, since it uses less digits than its factorization.

363087890088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 363087890088 in words is "three hundred sixty-three billion, eighty-seven million, eight hundred ninety thousand, eighty-eight".