11426251400 has 48 divisors (see below), whose sum is σ = 26638592640. Its totient is φ = 4558017600.

The previous prime is 11426251387. The next prime is 11426251409. The reversal of 11426251400 is 415262411.

It is a self number, because there is not a number n which added to its sum of digits gives 11426251400.

It is not an unprimeable number, because it can be changed into a prime (11426251409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4436 + ... + 151235.

It is an arithmetic number, because the mean of its divisors is an integer number (554970680).

Almost surely, 2^11426251400 is an apocalyptic number.

11426251400 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 11426251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319296320).

11426251400 is an abundant number, since it is smaller than the sum of its proper divisors (15212341240).

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

11426251400 is a wasteful number, since it uses less digits than its factorization.

11426251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156054 (or 156045 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 11426251400 in words is "eleven billion, four hundred twenty-six million, two hundred fifty-one thousand, four hundred".