10787389747200 has 2496 divisors, whose sum is σ = 45574147353600. Its totient is φ = 2508226560000.

The previous prime is 10787389747187. The next prime is 10787389747201. The reversal of 10787389747200 is 274798378701.

10787389747200 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 7 + 389 + 7 + 47 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (10787389747201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71439667125 + ... + 71439667275.

Almost surely, 2^{10787389747200} is an apocalyptic number.

10787389747200 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 10787389747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787073676800).

10787389747200 is an abundant number, since it is smaller than the sum of its proper divisors (34786757606400).

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

10787389747200 is an equidigital number, since it uses as much as digits as its factorization.

10787389747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 10787389747200 in words is "ten trillion, seven hundred eighty-seven billion, three hundred eighty-nine million, seven hundred forty-seven thousand, two hundred".