10979841600 has 1680 divisors, whose sum is σ = 53354224000. Its totient is φ = 2194698240.

The previous prime is 10979841599. The next prime is 10979841601. The reversal of 10979841600 is 614897901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10979841599) and next prime (10979841601).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10979841600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10979841601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 577886391 + ... + 577886409.

Almost surely, 2^10979841600 is an apocalyptic number.

10979841600 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 10979841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677112000).

10979841600 is an abundant number, since it is smaller than the sum of its proper divisors (42374382400).

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

10979841600 is a wasteful number, since it uses less digits than its factorization.

10979841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10979841600 in words is "ten billion, nine hundred seventy-nine million, eight hundred forty-one thousand, six hundred".