11277516351816 has 448 divisors, whose sum is σ = 37366705434240. Its totient is φ = 3144334464000.

The previous prime is 11277516351799. The next prime is 11277516351839. The reversal of 11277516351816 is 61815361577211.

It is a happy number.

11277516351816 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 51 + 63 + 518 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 259344796 + ... + 259388276.

It is an arithmetic number, because the mean of its divisors is an integer number (83407824630).

Almost surely, 2^{11277516351816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11277516351816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683352717120).

11277516351816 is an abundant number, since it is smaller than the sum of its proper divisors (26089189082424).

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

11277516351816 is a wasteful number, since it uses less digits than its factorization.

11277516351816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43840 (or 43821 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 11277516351816 in words is "eleven trillion, two hundred seventy-seven billion, five hundred sixteen million, three hundred fifty-one thousand, eight hundred sixteen".