10516880000 has 640 divisors, whose sum is σ = 32693284800. Its totient is φ = 3317760000.

The previous prime is 10516879979. The next prime is 10516880021. The reversal of 10516880000 is 8861501.

It is an interprime number because it is at equal distance from previous prime (10516879979) and next prime (10516880021).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10516880000² (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 79 ways as a sum of consecutive naturals, for example, 284239982 + ... + 284240018.

Almost surely, 2^10516880000 is an apocalyptic number.

10516880000 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 10516880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346642400).

10516880000 is an abundant number, since it is smaller than the sum of its proper divisors (22176404800).

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

10516880000 is a wasteful number, since it uses less digits than its factorization.

10516880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The spelling of 10516880000 in words is "ten billion, five hundred sixteen million, eight hundred eighty thousand".