10774518513864 has 192 divisors, whose sum is σ = 31480960080960. Its totient is φ = 3064020664320.

The previous prime is 10774518513853. The next prime is 10774518513907. The reversal of 10774518513864 is 46831581547701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10774518513798 and 10774518513807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399234979 + ... + 399261965.

It is an arithmetic number, because the mean of its divisors is an integer number (163963333755).

Almost surely, 2^{10774518513864} is an apocalyptic number.

10774518513864 is a gapful number since it is divisible by the number (14) 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 10774518513864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740480040480).

10774518513864 is an abundant number, since it is smaller than the sum of its proper divisors (20706441567096).

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

10774518513864 is a wasteful number, since it uses less digits than its factorization.

10774518513864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28588 (or 28577 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 10774518513864 in words is "ten trillion, seven hundred seventy-four billion, five hundred eighteen million, five hundred thirteen thousand, eight hundred sixty-four".