10059535440 has 240 divisors, whose sum is σ = 34539563136. Its totient is φ = 2623104000.

The previous prime is 10059535393. The next prime is 10059535481. The reversal of 10059535440 is 4453595001.

10059535440 is a `hidden beast` number, since 10 + 0 + 59 + 53 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 10059535395 and 10059535404.

It is a congruent number.

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, 7283550 + ... + 7284930.

Almost surely, 2^10059535440 is an apocalyptic number.

10059535440 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 10059535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269781568).

10059535440 is an abundant number, since it is smaller than the sum of its proper divisors (24480027696).

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

10059535440 is a wasteful number, since it uses less digits than its factorization.

10059535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10059535440 in words is "ten billion, fifty-nine million, five hundred thirty-five thousand, four hundred forty".