10379698560 has 1024 divisors, whose sum is σ = 47589120000. Its totient is φ = 2074705920.

The previous prime is 10379698559. The next prime is 10379698561. The reversal of 10379698560 is 6589697301.

10379698560 is a `hidden beast` number, since 1 + 0 + 3 + 79 + 6 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (10379698559) and next prime (10379698561).

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 = 10379698497 and 10379698506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379698561) 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, 38586106 + ... + 38586374.

It is an arithmetic number, because the mean of its divisors is an integer number (46473750).

Almost surely, 2^10379698560 is an apocalyptic number.

10379698560 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 10379698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23794560000).

10379698560 is an abundant number, since it is smaller than the sum of its proper divisors (37209421440).

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

10379698560 is a wasteful number, since it uses less digits than its factorization.

10379698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

It can be divided in two parts, 1037969 and 8560, that added together give a square (1046529 = 1023²).

The spelling of 10379698560 in words is "ten billion, three hundred seventy-nine million, six hundred ninety-eight thousand, five hundred sixty".