11610070848000 has 1600 divisors, whose sum is σ = 46781845913088. Its totient is φ = 2850884812800.

The previous prime is 11610070847917. The next prime is 11610070848023. The reversal of 11610070848000 is 84807001611.

11610070848000 is a `hidden beast` number, since 1 + 1 + 6 + 100 + 70 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

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, 4142014599 + ... + 4142017401.

Almost surely, 2^{11610070848000} is an apocalyptic number.

11610070848000 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 11610070848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390922956544).

11610070848000 is an abundant number, since it is smaller than the sum of its proper divisors (35171775065088).

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

11610070848000 is an equidigital number, since it uses as much as digits as its factorization.

11610070848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 11610070848000 its reverse (84807001611), we get a palindrome (11694877849611).

The spelling of 11610070848000 in words is "eleven trillion, six hundred ten billion, seventy million, eight hundred forty-eight thousand".