10610234901000 has 1024 divisors, whose sum is σ = 43572162816000. Its totient is φ = 2336947200000.

The previous prime is 10610234900981. The next prime is 10610234901011. The reversal of 10610234901000 is 10943201601.

10610234901000 is a `hidden beast` number, since 1 + 0 + 610 + 2 + 3 + 49 + 0 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10610234901000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3294079390 + ... + 3294082610.

It is an arithmetic number, because the mean of its divisors is an integer number (42550940250).

Almost surely, 2^{10610234901000} is an apocalyptic number.

10610234901000 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 10610234901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21786081408000).

10610234901000 is an abundant number, since it is smaller than the sum of its proper divisors (32961927915000).

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

10610234901000 is a wasteful number, since it uses less digits than its factorization.

10610234901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10610234901000 in words is "ten trillion, six hundred ten billion, two hundred thirty-four million, nine hundred one thousand".