10059150240 has 768 divisors, whose sum is σ = 40170816000. Its totient is φ = 2364899328.

The previous prime is 10059150229. The next prime is 10059150253. The reversal of 10059150240 is 4205195001.

10059150240 is a `hidden beast` number, since 1 + 0 + 0 + 591 + 50 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113024116 + ... + 113024204.

It is an arithmetic number, because the mean of its divisors is an integer number (52305750).

Almost surely, 2^10059150240 is an apocalyptic number.

10059150240 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 10059150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20085408000).

10059150240 is an abundant number, since it is smaller than the sum of its proper divisors (30111665760).

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

10059150240 is an equidigital number, since it uses as much as digits as its factorization.

10059150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10059150240 in words is "ten billion, fifty-nine million, one hundred fifty thousand, two hundred forty".