10426815360 has 384 divisors, whose sum is σ = 41060597760. Its totient is φ = 2415329280.

The previous prime is 10426815359. The next prime is 10426815361. The reversal of 10426815360 is 6351862401.

It is a happy number.

10426815360 is a `hidden beast` number, since 1 + 0 + 42 + 6 + 81 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10426815359) and next prime (10426815361).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426815361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268865 + ... + 1277055.

It is an arithmetic number, because the mean of its divisors is an integer number (106928640).

Almost surely, 2^10426815360 is an apocalyptic number.

10426815360 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 10426815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530298880).

10426815360 is an abundant number, since it is smaller than the sum of its proper divisors (30633782400).

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

10426815360 is a wasteful number, since it uses less digits than its factorization.

10426815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10426815360 in words is "ten billion, four hundred twenty-six million, eight hundred fifteen thousand, three hundred sixty".