11258914172000 has 192 divisors, whose sum is σ = 30211217906688. Its totient is φ = 4089641920000.

The previous prime is 11258914171991. The next prime is 11258914172027. The reversal of 11258914172000 is 27141985211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39943559 + ... + 40224441.

It is an arithmetic number, because the mean of its divisors is an integer number (157350093264).

Almost surely, 2^{11258914172000} is an apocalyptic number.

11258914172000 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 11258914172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105608953344).

11258914172000 is an abundant number, since it is smaller than the sum of its proper divisors (18952303734688).

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

11258914172000 is a wasteful number, since it uses less digits than its factorization.

11258914172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281830 (or 281812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 11258914172000 in words is "eleven trillion, two hundred fifty-eight billion, nine hundred fourteen million, one hundred seventy-two thousand".