10378557216 has 108 divisors (see below), whose sum is σ = 30648239622. Its totient is φ = 3459449088.

The previous prime is 10378557199. The next prime is 10378557227. The reversal of 10378557216 is 61275587301.

It is a happy number.

10378557216 is a `hidden beast` number, since 1 + 0 + 3 + 78 + 5 + 572 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8171436816 + 2207120400 = 90396^2 + 46980^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 185236 + ... + 234668.

Almost surely, 2^10378557216 is an apocalyptic number.

10378557216 is a gapful number since it is divisible by the number (16) 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 10378557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324119811).

10378557216 is an abundant number, since it is smaller than the sum of its proper divisors (20269682406).

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

10378557216 is an frugal number, since it uses more digits than its factorization.

10378557216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49467 (or 49438 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10378557216 in words is "ten billion, three hundred seventy-eight million, five hundred fifty-seven thousand, two hundred sixteen".