10353879648 has 192 divisors, whose sum is σ = 36543467520. Its totient is φ = 2784208896.

The previous prime is 10353879611. The next prime is 10353879667. The reversal of 10353879648 is 84697835301.

10353879648 is a `hidden beast` number, since 10 + 3 + 538 + 7 + 96 + 4 + 8 = 666.

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 = 10353879594 and 10353879603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52465 + ... + 153167.

It is an arithmetic number, because the mean of its divisors is an integer number (190330560).

Almost surely, 2^10353879648 is an apocalyptic number.

10353879648 is a gapful number since it is divisible by the number (18) 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 10353879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271733760).

10353879648 is an abundant number, since it is smaller than the sum of its proper divisors (26189587872).

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

10353879648 is a wasteful number, since it uses less digits than its factorization.

10353879648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100746 (or 100732 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10353879648 in words is "ten billion, three hundred fifty-three million, eight hundred seventy-nine thousand, six hundred forty-eight".