11542970880 has 320 divisors, whose sum is σ = 46860929280. Its totient is φ = 2638282752.

The previous prime is 11542970867. The next prime is 11542970903. The reversal of 11542970880 is 8807924511.

11542970880 is a `hidden beast` number, since 11 + 542 + 97 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 471912 + ... + 495768.

It is an arithmetic number, because the mean of its divisors is an integer number (146440404).

Almost surely, 2^11542970880 is an apocalyptic number.

11542970880 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 11542970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430464640).

11542970880 is an abundant number, since it is smaller than the sum of its proper divisors (35317958400).

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

11542970880 is an equidigital number, since it uses as much as digits as its factorization.

11542970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23896 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11542970880 in words is "eleven billion, five hundred forty-two million, nine hundred seventy thousand, eight hundred eighty".