10779016562496 has 896 divisors, whose sum is σ = 41097209753600. Its totient is φ = 2690341724160.

The previous prime is 10779016562491. The next prime is 10779016562537. The reversal of 10779016562496 is 69426561097701.

10779016562496 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 90 + 1 + 6 + 56 + 2 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10779016562491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5058195351 + ... + 5058197481.

It is an arithmetic number, because the mean of its divisors is an integer number (45867421600).

Almost surely, 2^{10779016562496} is an apocalyptic number.

10779016562496 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 10779016562496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548604876800).

10779016562496 is an abundant number, since it is smaller than the sum of its proper divisors (30318193191104).

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

10779016562496 is a wasteful number, since it uses less digits than its factorization.

10779016562496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10779016562496 in words is "ten trillion, seven hundred seventy-nine billion, sixteen million, five hundred sixty-two thousand, four hundred ninety-six".