11954851050240 has 1152 divisors, whose sum is σ = 49461147617280. Its totient is φ = 2677926002688.

The previous prime is 11954851050221. The next prime is 11954851050251. The reversal of 11954851050240 is 4205015845911.

11954851050240 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 48 + 510 + 50 + 2 + 40 = 666.

11954851050240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2878604004 + ... + 2878608156.

Almost surely, 2^{11954851050240} is an apocalyptic number.

11954851050240 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 11954851050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730573808640).

11954851050240 is an abundant number, since it is smaller than the sum of its proper divisors (37506296567040).

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

11954851050240 is a wasteful number, since it uses less digits than its factorization.

11954851050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 11954851050240 in words is "eleven trillion, nine hundred fifty-four billion, eight hundred fifty-one million, fifty thousand, two hundred forty".