10354530252000 has 384 divisors, whose sum is σ = 37164139504128. Its totient is φ = 2499408384000.

The previous prime is 10354530251983. The next prime is 10354530252007. The reversal of 10354530252000 is 25203545301.

It is a super-3 number, since 3×10354530252000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354530252007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30587667 + ... + 30924333.

It is an arithmetic number, because the mean of its divisors is an integer number (96781613292).

Almost surely, 2^{10354530252000} is an apocalyptic number.

10354530252000 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 10354530252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582069752064).

10354530252000 is an abundant number, since it is smaller than the sum of its proper divisors (26809609252128).

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

10354530252000 is a wasteful number, since it uses less digits than its factorization.

10354530252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336939 (or 336921 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 10354530252000 its reverse (25203545301), we get a palindrome (10379733797301).

The spelling of 10354530252000 in words is "ten trillion, three hundred fifty-four billion, five hundred thirty million, two hundred fifty-two thousand".