10916556000 has 192 divisors, whose sum is σ = 40871900160. Its totient is φ = 2495193600.

The previous prime is 10916555989. The next prime is 10916556011. The reversal of 10916556000 is 65561901.

It is an interprime number because it is at equal distance from previous prime (10916555989) and next prime (10916556011).

It is a super-2 number, since 2×10916556000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19021 + ... + 148979.

It is an arithmetic number, because the mean of its divisors is an integer number (212874480).

Almost surely, 2^10916556000 is an apocalyptic number.

10916556000 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 10916556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435950080).

10916556000 is an abundant number, since it is smaller than the sum of its proper divisors (29955344160).

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

10916556000 is a wasteful number, since it uses less digits than its factorization.

10916556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129994 (or 129976 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 10916556000 in words is "ten billion, nine hundred sixteen million, five hundred fifty-six thousand".