11237890060800 has 1920 divisors, whose sum is σ = 46348879315200. Its totient is φ = 2648687247360.

The previous prime is 11237890060757. The next prime is 11237890060807. The reversal of 11237890060800 is 806009873211.

11237890060800 is a `hidden beast` number, since 1 + 1 + 2 + 37 + 8 + 9 + 0 + 0 + 608 + 0 + 0 = 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 not an unprimeable number, because it can be changed into a prime (11237890060807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11137650696 + ... + 11137651704.

It is an arithmetic number, because the mean of its divisors is an integer number (24140041310).

Almost surely, 2^{11237890060800} is an apocalyptic number.

11237890060800 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 11237890060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23174439657600).

11237890060800 is an abundant number, since it is smaller than the sum of its proper divisors (35110989254400).

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

11237890060800 is a wasteful number, since it uses less digits than its factorization.

11237890060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11237890060800 in words is "eleven trillion, two hundred thirty-seven billion, eight hundred ninety million, sixty thousand, eight hundred".