10837416960 has 264 divisors, whose sum is σ = 37741210416. Its totient is φ = 2875392000.

The previous prime is 10837416937. The next prime is 10837417039. The reversal of 10837416960 is 6961473801.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11565612 + ... + 11566548.

Almost surely, 2^10837416960 is an apocalyptic number.

10837416960 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 10837416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870605208).

10837416960 is an abundant number, since it is smaller than the sum of its proper divisors (26903793456).

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

10837416960 is a wasteful number, since it uses less digits than its factorization.

10837416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10837416960 in words is "ten billion, eight hundred thirty-seven million, four hundred sixteen thousand, nine hundred sixty".