11077404234624 has 2048 divisors, whose sum is σ = 42776025600000. Its totient is φ = 2802190712832.

The previous prime is 11077404234613. The next prime is 11077404234641. The reversal of 11077404234624 is 42643240477011.

11077404234624 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 404 + 234 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11077404234624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48372944142 + ... + 48372944370.

It is an arithmetic number, because the mean of its divisors is an integer number (20886731250).

Almost surely, 2^{11077404234624} is an apocalyptic number.

11077404234624 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 11077404234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388012800000).

11077404234624 is an abundant number, since it is smaller than the sum of its proper divisors (31698621365376).

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

11077404234624 is a wasteful number, since it uses less digits than its factorization.

11077404234624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 11077404234624 in words is "eleven trillion, seventy-seven billion, four hundred four million, two hundred thirty-four thousand, six hundred twenty-four".