10053356742 has 384 divisors, whose sum is σ = 28801681920. Its totient is φ = 2566287360.

The previous prime is 10053356713. The next prime is 10053356777. The reversal of 10053356742 is 24765335001.

10053356742 is a `hidden beast` number, since 1 + 0 + 0 + 53 + 3 + 567 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10053356697 and 10053356706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73382098 + ... + 73382234.

It is an arithmetic number, because the mean of its divisors is an integer number (75004380).

Almost surely, 2^10053356742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053356742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400840960).

10053356742 is an abundant number, since it is smaller than the sum of its proper divisors (18748325178).

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

10053356742 is a wasteful number, since it uses less digits than its factorization.

10053356742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10053356742 in words is "ten billion, fifty-three million, three hundred fifty-six thousand, seven hundred forty-two".