1190893004800 has 288 divisors, whose sum is σ = 3160930500000. Its totient is φ = 443615477760.

The previous prime is 1190893004759. The next prime is 1190893004803. The reversal of 1190893004800 is 84003980911.

It is a super-2 number, since 2×1190893004800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1190893004803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57384826 + ... + 57405574.

It is an arithmetic number, because the mean of its divisors is an integer number (10975453125).

Almost surely, 2^{1190893004800} is an apocalyptic number.

1190893004800 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 1190893004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580465250000).

1190893004800 is an abundant number, since it is smaller than the sum of its proper divisors (1970037495200).

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

1190893004800 is a wasteful number, since it uses less digits than its factorization.

1190893004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20859 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 1190893004800 in words is "one trillion, one hundred ninety billion, eight hundred ninety-three million, four thousand, eight hundred".