11287922483200 has 672 divisors, whose sum is σ = 32127347146752. Its totient is φ = 3893919744000.

The previous prime is 11287922483183. The next prime is 11287922483219. The reversal of 11287922483200 is 238422978211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6787685569 + ... + 6787687231.

Almost surely, 2^{11287922483200} is an apocalyptic number.

11287922483200 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 11287922483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063673573376).

11287922483200 is an abundant number, since it is smaller than the sum of its proper divisors (20839424663552).

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

11287922483200 is a wasteful number, since it uses less digits than its factorization.

11287922483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 11287922483200 in words is "eleven trillion, two hundred eighty-seven billion, nine hundred twenty-two million, four hundred eighty-three thousand, two hundred".