10501905960 has 768 divisors, whose sum is σ = 45086146560. Its totient is φ = 2138711040.

The previous prime is 10501905919. The next prime is 10501905977. The reversal of 10501905960 is 6950910501.

10501905960 is a `hidden beast` number, since 1 + 0 + 50 + 19 + 0 + 596 + 0 = 666.

It is a super-2 number, since 2×10501905960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27419929 + ... + 27420311.

It is an arithmetic number, because the mean of its divisors is an integer number (58705920).

Almost surely, 2^10501905960 is an apocalyptic number.

10501905960 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 10501905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22543073280).

10501905960 is an abundant number, since it is smaller than the sum of its proper divisors (34584240600).

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

10501905960 is a wasteful number, since it uses less digits than its factorization.

10501905960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 10501905960 in words is "ten billion, five hundred one million, nine hundred five thousand, nine hundred sixty".