10875784000 has 224 divisors, whose sum is σ = 28728984960. Its totient is φ = 4064256000.

The previous prime is 10875783931. The next prime is 10875784009. The reversal of 10875784000 is 48757801.

It is a super-2 number, since 2×10875784000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10875784009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28695811 + ... + 28696189.

Almost surely, 2^10875784000 is an apocalyptic number.

10875784000 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 10875784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364492480).

10875784000 is an abundant number, since it is smaller than the sum of its proper divisors (17853200960).

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

10875784000 is a wasteful number, since it uses less digits than its factorization.

10875784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 10875784000 in words is "ten billion, eight hundred seventy-five million, seven hundred eighty-four thousand".