10510005561000 has 256 divisors, whose sum is σ = 36126429131520. Its totient is φ = 2522652800000.

The previous prime is 10510005560993. The next prime is 10510005561017. The reversal of 10510005561000 is 16550001501.

It is a super-2 number, since 2×10510005561000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1756342 + ... + 4909658.

It is an arithmetic number, because the mean of its divisors is an integer number (141118863795).

Almost surely, 2^{10510005561000} is an apocalyptic number.

10510005561000 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 10510005561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063214565760).

10510005561000 is an abundant number, since it is smaller than the sum of its proper divisors (25616423570520).

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

10510005561000 is a wasteful number, since it uses less digits than its factorization.

10510005561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153453 (or 3153439 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10510005561000 its reverse (16550001501), we get a palindrome (10526555562501).

The spelling of 10510005561000 in words is "ten trillion, five hundred ten billion, five million, five hundred sixty-one thousand".