1353286385500 has 288 divisors, whose sum is σ = 3798666668160. Its totient is φ = 417701222400.

The previous prime is 1353286385467. The next prime is 1353286385557. The reversal of 1353286385500 is 55836823531.

It is a super-2 number, since 2×1353286385500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9508866 + ... + 9650134.

It is an arithmetic number, because the mean of its divisors is an integer number (13189814820).

Almost surely, 2^{1353286385500} is an apocalyptic number.

1353286385500 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 1353286385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899333334080).

1353286385500 is an abundant number, since it is smaller than the sum of its proper divisors (2445380282660).

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

1353286385500 is a wasteful number, since it uses less digits than its factorization.

1353286385500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141342 (or 141323 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 1353286385500 in words is "one trillion, three hundred fifty-three billion, two hundred eighty-six million, three hundred eighty-five thousand, five hundred".