10234840872960 has 1296 divisors, whose sum is σ = 40519732944600. Its totient is φ = 2479202795520.

The previous prime is 10234840872901. The next prime is 10234840873013. The reversal of 10234840872960 is 6927804843201.

10234840872960 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 484 + 0 + 8 + 72 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10234840872960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10234840872897 and 10234840872906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8129340811 + ... + 8129342069.

Almost surely, 2^{10234840872960} is an apocalyptic number.

10234840872960 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 10234840872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259866472300).

10234840872960 is an abundant number, since it is smaller than the sum of its proper divisors (30284892071640).

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

10234840872960 is an frugal number, since it uses more digits than its factorization.

10234840872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10234840872960 in words is "ten trillion, two hundred thirty-four billion, eight hundred forty million, eight hundred seventy-two thousand, nine hundred sixty".