1099863821952 has 768 divisors, whose sum is σ = 3892393440000. Its totient is φ = 297521602560.

The previous prime is 1099863821939. The next prime is 1099863821989. The reversal of 1099863821952 is 2591283689901.

1099863821952 is a `hidden beast` number, since 1 + 0 + 99 + 86 + 382 + 1 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1099863821952.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607323127 + ... + 607324937.

It is an arithmetic number, because the mean of its divisors is an integer number (5068220625).

Almost surely, 2^{1099863821952} is an apocalyptic number.

1099863821952 is a gapful number since it is divisible by the number (12) 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 1099863821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946196720000).

1099863821952 is an abundant number, since it is smaller than the sum of its proper divisors (2792529618048).

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

1099863821952 is a wasteful number, since it uses less digits than its factorization.

1099863821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1099863821952 in words is "one trillion, ninety-nine billion, eight hundred sixty-three million, eight hundred twenty-one thousand, nine hundred fifty-two".