10377465978816 has 784 divisors, whose sum is σ = 33139804769280. Its totient is φ = 3214867138560.

The previous prime is 10377465978779. The next prime is 10377465978827. The reversal of 10377465978816 is 61887956477301.

10377465978816 is a `hidden beast` number, since 1 + 0 + 3 + 77 + 465 + 9 + 7 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11028124906 + ... + 11028125846.

Almost surely, 2^{10377465978816} is an apocalyptic number.

10377465978816 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 10377465978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569902384640).

10377465978816 is an abundant number, since it is smaller than the sum of its proper divisors (22762338790464).

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

10377465978816 is an equidigital number, since it uses as much as digits as its factorization.

10377465978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 10377465978816 in words is "ten trillion, three hundred seventy-seven billion, four hundred sixty-five million, nine hundred seventy-eight thousand, eight hundred sixteen".