10139679648 has 288 divisors, whose sum is σ = 35097753600. Its totient is φ = 2710609920.

The previous prime is 10139679637. The next prime is 10139679659. The reversal of 10139679648 is 84697693101.

It is an interprime number because it is at equal distance from previous prime (10139679637) and next prime (10139679659).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 10139679594 and 10139679603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6545178 + ... + 6546726.

It is an arithmetic number, because the mean of its divisors is an integer number (121867200).

Almost surely, 2^10139679648 is an apocalyptic number.

10139679648 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 10139679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

10139679648 is an abundant number, since it is smaller than the sum of its proper divisors (24958073952).

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

10139679648 is a wasteful number, since it uses less digits than its factorization.

10139679648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10139679648 in words is "ten billion, one hundred thirty-nine million, six hundred seventy-nine thousand, six hundred forty-eight".