10239989760 has 1536 divisors, whose sum is σ = 50193561600. Its totient is φ = 1911029760.

The previous prime is 10239989741. The next prime is 10239989761. The reversal of 10239989760 is 6798993201.

10239989760 is a `hidden beast` number, since 102 + 399 + 8 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×10239989760³ (a number of 31 digits) contains 333 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 = 10239989697 and 10239989706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239989761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276756462 + ... + 276756498.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^10239989760 is an apocalyptic number.

10239989760 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 10239989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

10239989760 is an abundant number, since it is smaller than the sum of its proper divisors (39953571840).

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

10239989760 is a wasteful number, since it uses less digits than its factorization.

10239989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

It can be divided in two parts, 10239 and 989760, that added together give a palindrome (999999).

The spelling of 10239989760 in words is "ten billion, two hundred thirty-nine million, nine hundred eighty-nine thousand, seven hundred sixty".