10116437760 has 1152 divisors, whose sum is σ = 44503603200. Its totient is φ = 2141061120.

The previous prime is 10116437759. The next prime is 10116437789. The reversal of 10116437760 is 6773461101.

10116437760 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 643 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113667796 + ... + 113667884.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 2^10116437760 is an apocalyptic number.

10116437760 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 10116437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251801600).

10116437760 is an abundant number, since it is smaller than the sum of its proper divisors (34387165440).

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

10116437760 is a wasteful number, since it uses less digits than its factorization.

10116437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 10116437760 its reverse (6773461101), we get a palindrome (16889898861).

The spelling of 10116437760 in words is "ten billion, one hundred sixteen million, four hundred thirty-seven thousand, seven hundred sixty".