11306077677024 has 384 divisors, whose sum is σ = 32879213273088. Its totient is φ = 3380069990400.

The previous prime is 11306077676983. The next prime is 11306077677109. The reversal of 11306077677024 is 42077677060311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5480405017 + ... + 5480407079.

It is an arithmetic number, because the mean of its divisors is an integer number (85622951232).

Almost surely, 2^{11306077677024} 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 11306077677024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439606636544).

11306077677024 is an abundant number, since it is smaller than the sum of its proper divisors (21573135596064).

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

11306077677024 is a wasteful number, since it uses less digits than its factorization.

11306077677024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 51.

The spelling of 11306077677024 in words is "eleven trillion, three hundred six billion, seventy-seven million, six hundred seventy-seven thousand, twenty-four".