10500838656000 has 3072 divisors, whose sum is σ = 45992096317440. Its totient is φ = 2064384000000.

The previous prime is 10500838655987. The next prime is 10500838656023. The reversal of 10500838656000 is 65683800501.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×10500838656000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147899135965 + ... + 147899136035.

It is an arithmetic number, because the mean of its divisors is an integer number (14971385520).

Almost surely, 2^{10500838656000} is an apocalyptic number.

10500838656000 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 10500838656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22996048158720).

10500838656000 is an abundant number, since it is smaller than the sum of its proper divisors (35491257661440).

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

10500838656000 is a wasteful number, since it uses less digits than its factorization.

10500838656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10500838656000 in words is "ten trillion, five hundred billion, eight hundred thirty-eight million, six hundred fifty-six thousand".