1468872787200 has 1296 divisors, whose sum is σ = 6340039628160. Its totient is φ = 291585392640.

The previous prime is 1468872787157. The next prime is 1468872787211. The reversal of 1468872787200 is 27872788641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 504939346 + ... + 504942254.

Almost surely, 2^{1468872787200} is an apocalyptic number.

1468872787200 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 1468872787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170019814080).

1468872787200 is an abundant number, since it is smaller than the sum of its proper divisors (4871166840960).

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

1468872787200 is a wasteful number, since it uses less digits than its factorization.

1468872787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 60.

The spelling of 1468872787200 in words is "one trillion, four hundred sixty-eight billion, eight hundred seventy-two million, seven hundred eighty-seven thousand, two hundred".