11254641840 has 240 divisors, whose sum is σ = 40891320288. Its totient is φ = 2757648384.

The previous prime is 11254641823. The next prime is 11254641847. The reversal of 11254641840 is 4814645211.

11254641840 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 4 + 641 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11254641795 and 11254641804.

It is not an unprimeable number, because it can be changed into a prime (11254641847) 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, 2122072 + ... + 2127368.

Almost surely, 2^11254641840 is an apocalyptic number.

11254641840 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 11254641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445660144).

11254641840 is an abundant number, since it is smaller than the sum of its proper divisors (29636678448).

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

11254641840 is a wasteful number, since it uses less digits than its factorization.

11254641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11254641840 in words is "eleven billion, two hundred fifty-four million, six hundred forty-one thousand, eight hundred forty".