10992578688 has 640 divisors, whose sum is σ = 41137367040. Its totient is φ = 2836684800.

The previous prime is 10992578671. The next prime is 10992578689. The reversal of 10992578688 is 88687529901.

It is a happy number.

It is a super-4 number, since 4×10992578688⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10992578689) 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, 57552673 + ... + 57552863.

It is an arithmetic number, because the mean of its divisors is an integer number (64277136).

Almost surely, 2^10992578688 is an apocalyptic number.

10992578688 is a gapful number since it is divisible by the number (18) 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 10992578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568683520).

10992578688 is an abundant number, since it is smaller than the sum of its proper divisors (30144788352).

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

10992578688 is a wasteful number, since it uses less digits than its factorization.

10992578688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 10992578688 in words is "ten billion, nine hundred ninety-two million, five hundred seventy-eight thousand, six hundred eighty-eight".