10259813760 has 512 divisors, whose sum is σ = 39267486720. Its totient is φ = 2229534720.

The previous prime is 10259813653. The next prime is 10259813777. The reversal of 10259813760 is 6731895201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23694504 + ... + 23694936.

It is an arithmetic number, because the mean of its divisors is an integer number (76694310).

Almost surely, 2^10259813760 is an apocalyptic number.

10259813760 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 10259813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633743360).

10259813760 is an abundant number, since it is smaller than the sum of its proper divisors (29007672960).

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

10259813760 is a wasteful number, since it uses less digits than its factorization.

10259813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 10259813760 in words is "ten billion, two hundred fifty-nine million, eight hundred thirteen thousand, seven hundred sixty".