11077234432400 has 120 divisors (see below), whose sum is σ = 27095492176320. Its totient is φ = 4350988730880.

The previous prime is 11077234432373. The next prime is 11077234432423. The reversal of 11077234432400 is 423443277011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7843661 + ... + 9147539.

It is an arithmetic number, because the mean of its divisors is an integer number (225795768136).

Almost surely, 2^{11077234432400} is an apocalyptic number.

11077234432400 is a gapful number since it is divisible by the number (10) 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 11077234432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547746088160).

11077234432400 is an abundant number, since it is smaller than the sum of its proper divisors (16018257743920).

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

11077234432400 is a wasteful number, since it uses less digits than its factorization.

11077234432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304281 (or 1304270 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 11077234432400 in words is "eleven trillion, seventy-seven billion, two hundred thirty-four million, four hundred thirty-two thousand, four hundred".