10239578496 has 256 divisors, whose sum is σ = 36357696000. Its totient is φ = 2771490816.

The previous prime is 10239578491. The next prime is 10239578521. The reversal of 10239578496 is 69487593201.

10239578496 is a `hidden beast` number, since 1 + 0 + 23 + 9 + 578 + 49 + 6 = 666.

It is a super-3 number, since 3×10239578496³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239578491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448510 + ... + 470786.

It is an arithmetic number, because the mean of its divisors is an integer number (142022250).

It is a 1-persistent number, because it is pandigital, but 2⋅10239578496 = 20479156992 is not.

Almost surely, 2^10239578496 is an apocalyptic number.

10239578496 is a gapful number since it is divisible by the number (16) 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 10239578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178848000).

10239578496 is an abundant number, since it is smaller than the sum of its proper divisors (26118117504).

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

10239578496 is a wasteful number, since it uses less digits than its factorization.

10239578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22326 (or 22308 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10239578496 in words is "ten billion, two hundred thirty-nine million, five hundred seventy-eight thousand, four hundred ninety-six".