11434010252000 has 144 divisors (see below), whose sum is σ = 32680035290448. Its totient is φ = 3920232019200.

The previous prime is 11434010251969. The next prime is 11434010252087. The reversal of 11434010252000 is 25201043411.

It is a super-2 number, since 2×11434010252000² (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 23 ways as a sum of consecutive naturals, for example, 28972394 + ... + 29364393.

It is an arithmetic number, because the mean of its divisors is an integer number (226944689517).

Almost surely, 2^{11434010252000} is an apocalyptic number.

11434010252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434010252000 is an abundant number, since it is smaller than the sum of its proper divisors (21246025038448).

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

11434010252000 is an equidigital number, since it uses as much as digits as its factorization.

11434010252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58336826 (or 58336801 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11434010252000 its reverse (25201043411), we get a palindrome (11459211295411).

The spelling of 11434010252000 in words is "eleven trillion, four hundred thirty-four billion, ten million, two hundred fifty-two thousand".