10053153263340 has 144 divisors (see below), whose sum is σ = 33271272871200. Its totient is φ = 2436800240640.

The previous prime is 10053153263311. The next prime is 10053153263357. The reversal of 10053153263340 is 4336235135001.

10053153263340 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 1 + 53 + 263 + 340 = 666.

It is a super-3 number, since 3×10053153263340³ (a number of 40 digits) contains 333 as substring.

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 = 10053153263295 and 10053153263304.

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, 14545936 + ... + 15221384.

It is an arithmetic number, because the mean of its divisors is an integer number (231050506050).

Almost surely, 2^{10053153263340} is an apocalyptic number.

10053153263340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10053153263340 is an abundant number, since it is smaller than the sum of its proper divisors (23218119607860).

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

10053153263340 is a wasteful number, since it uses less digits than its factorization.

10053153263340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682992 (or 682987 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 10053153263340 its reverse (4336235135001), we get a palindrome (14389388398341).

The spelling of 10053153263340 in words is "ten trillion, fifty-three billion, one hundred fifty-three million, two hundred sixty-three thousand, three hundred forty".