1048916887200 has 1296 divisors, whose sum is σ = 4747882741056. Its totient is φ = 221261414400.

The previous prime is 1048916887153. The next prime is 1048916887201. The reversal of 1048916887200 is 27886198401.

1048916887200 is a `hidden beast` number, since 1 + 0 + 489 + 1 + 68 + 87 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1048916887200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1048916887201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 229972920 + ... + 229977480.

Almost surely, 2^{1048916887200} is an apocalyptic number.

1048916887200 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 1048916887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373941370528).

1048916887200 is an abundant number, since it is smaller than the sum of its proper divisors (3698965853856).

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

1048916887200 is a wasteful number, since it uses less digits than its factorization.

1048916887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1048916887200 in words is "one trillion, forty-eight billion, nine hundred sixteen million, eight hundred eighty-seven thousand, two hundred".