10053144351600 has 240 divisors, whose sum is σ = 36809232510720. Its totient is φ = 2297540044800.

The previous prime is 10053144351583. The next prime is 10053144351619. The reversal of 10053144351600 is 615344135001.

It is a happy number.

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

It is a super-2 number, since 2×10053144351600² (a number of 27 digits) contains 22 as substring.

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, 62760411 + ... + 62920389.

It is an arithmetic number, because the mean of its divisors is an integer number (153371802128).

Almost surely, 2^{10053144351600} is an apocalyptic number.

10053144351600 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 10053144351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404616255360).

10053144351600 is an abundant number, since it is smaller than the sum of its proper divisors (26756088159120).

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

10053144351600 is a wasteful number, since it uses less digits than its factorization.

10053144351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167488 (or 167477 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 10053144351600 its reverse (615344135001), we get a palindrome (10668488486601).

The spelling of 10053144351600 in words is "ten trillion, fifty-three billion, one hundred forty-four million, three hundred fifty-one thousand, six hundred".