10934880000 has 720 divisors, whose sum is σ = 42144009600. Its totient is φ = 2488320000.

The previous prime is 10934879999. The next prime is 10934880001. The reversal of 10934880000 is 8843901.

It is an interprime number because it is at equal distance from previous prime (10934879999) and next prime (10934880001).

It is a super-2 number, since 2×10934880000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10934880001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100319946 + ... + 100320054.

Almost surely, 2^10934880000 is an apocalyptic number.

10934880000 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 10934880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21072004800).

10934880000 is an abundant number, since it is smaller than the sum of its proper divisors (31209129600).

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

10934880000 is a wasteful number, since it uses less digits than its factorization.

10934880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10934880000 in words is "ten billion, nine hundred thirty-four million, eight hundred eighty thousand".