10988726400 has 576 divisors, whose sum is σ = 41434848000. Its totient is φ = 2768855040.

The previous prime is 10988726387. The next prime is 10988726401. The reversal of 10988726400 is 462788901.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10988726401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49276689 + ... + 49276911.

It is an arithmetic number, because the mean of its divisors is an integer number (71935500).

Almost surely, 2^10988726400 is an apocalyptic number.

10988726400 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 10988726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424000).

10988726400 is an abundant number, since it is smaller than the sum of its proper divisors (30446121600).

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

10988726400 is a wasteful number, since it uses less digits than its factorization.

10988726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10988726400 in words is "ten billion, nine hundred eighty-eight million, seven hundred twenty-six thousand, four hundred".