10916136576 has 384 divisors, whose sum is σ = 34369920000. Its totient is φ = 3314608128.

The previous prime is 10916136551. The next prime is 10916136593. The reversal of 10916136576 is 67563161901.

10916136576 is a `hidden beast` number, since 10 + 9 + 1 + 61 + 3 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102019915 + ... + 102020021.

It is an arithmetic number, because the mean of its divisors is an integer number (89505000).

Almost surely, 2^10916136576 is an apocalyptic number.

10916136576 is a gapful number since it is divisible by the number (16) 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 10916136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000).

10916136576 is an abundant number, since it is smaller than the sum of its proper divisors (23453783424).

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

10916136576 is a wasteful number, since it uses less digits than its factorization.

10916136576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10916136576 in words is "ten billion, nine hundred sixteen million, one hundred thirty-six thousand, five hundred seventy-six".