10053642240 has 960 divisors, whose sum is σ = 41098337280. Its totient is φ = 2335703040.

The previous prime is 10053642229. The next prime is 10053642283. The reversal of 10053642240 is 4224635001.

10053642240 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 324311025 + ... + 324311055.

It is an arithmetic number, because the mean of its divisors is an integer number (42810768).

Almost surely, 2^10053642240 is an apocalyptic number.

10053642240 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 10053642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549168640).

10053642240 is an abundant number, since it is smaller than the sum of its proper divisors (31044695040).

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

10053642240 is a wasteful number, since it uses less digits than its factorization.

10053642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10053642240 in words is "ten billion, fifty-three million, six hundred forty-two thousand, two hundred forty".