11254958400 has 336 divisors, whose sum is σ = 43104669696. Its totient is φ = 2517473280.

The previous prime is 11254958387. The next prime is 11254958401. The reversal of 11254958400 is 485945211.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254958401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575637 + ... + 1582763.

Almost surely, 2^11254958400 is an apocalyptic number.

11254958400 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 11254958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21552334848).

11254958400 is an abundant number, since it is smaller than the sum of its proper divisors (31849711296).

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

11254958400 is a wasteful number, since it uses less digits than its factorization.

11254958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7206 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 11254958400 in words is "eleven billion, two hundred fifty-four million, nine hundred fifty-eight thousand, four hundred".