11572141775040 has 1120 divisors, whose sum is σ = 51940605556224. Its totient is φ = 2375595786240.

The previous prime is 11572141774967. The next prime is 11572141775059. The reversal of 11572141775040 is 4057714127511.

11572141775040 is a `hidden beast` number, since 1 + 1 + 5 + 72 + 1 + 4 + 1 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 165619792 + ... + 165689648.

Almost surely, 2^{11572141775040} is an apocalyptic number.

11572141775040 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 11572141775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970302778112).

11572141775040 is an abundant number, since it is smaller than the sum of its proper divisors (40368463781184).

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

11572141775040 is a wasteful number, since it uses less digits than its factorization.

11572141775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69987 (or 69968 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 11572141775040 in words is "eleven trillion, five hundred seventy-two billion, one hundred forty-one million, seven hundred seventy-five thousand, forty".