10234508760 has 384 divisors, whose sum is σ = 39626496000. Its totient is φ = 2327201280.

The previous prime is 10234508747. The next prime is 10234508771. The reversal of 10234508760 is 6780543201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23745745 + ... + 23746175.

It is an arithmetic number, because the mean of its divisors is an integer number (103194000).

Almost surely, 2^10234508760 is an apocalyptic number.

10234508760 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 10234508760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248000).

10234508760 is an abundant number, since it is smaller than the sum of its proper divisors (29391987240).

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

10234508760 is a wasteful number, since it uses less digits than its factorization.

10234508760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10234508760 in words is "ten billion, two hundred thirty-four million, five hundred eight thousand, seven hundred sixty".