10159626240 has 288 divisors, whose sum is σ = 36750036960. Its totient is φ = 2590900224.

The previous prime is 10159626229. The next prime is 10159626313. The reversal of 10159626240 is 4262695101.

10159626240 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 9 + 626 + 24 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 10159626195 and 10159626204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2117284 + ... + 2122076.

It is an arithmetic number, because the mean of its divisors is an integer number (127604295).

Almost surely, 2^10159626240 is an apocalyptic number.

10159626240 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 10159626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375018480).

10159626240 is an abundant number, since it is smaller than the sum of its proper divisors (26590410720).

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

10159626240 is a wasteful number, since it uses less digits than its factorization.

10159626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10159626240 in words is "ten billion, one hundred fifty-nine million, six hundred twenty-six thousand, two hundred forty".