11853020874240 has 1920 divisors, whose sum is σ = 53820325278720. Its totient is φ = 2432836435968.

The previous prime is 11853020874229. The next prime is 11853020874241. The reversal of 11853020874240 is 4247802035811.

11853020874240 is a `hidden beast` number, since 1 + 1 + 8 + 530 + 2 + 0 + 8 + 74 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11853020874241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2094540531 + ... + 2094546189.

It is an arithmetic number, because the mean of its divisors is an integer number (28031419416).

Almost surely, 2^{11853020874240} is an apocalyptic number.

11853020874240 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 11853020874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26910162639360).

11853020874240 is an abundant number, since it is smaller than the sum of its proper divisors (41967304404480).

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

11853020874240 is an equidigital number, since it uses as much as digits as its factorization.

11853020874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11853020874240 in words is "eleven trillion, eight hundred fifty-three billion, twenty million, eight hundred seventy-four thousand, two hundred forty".