10787212800000 has 3120 divisors, whose sum is σ = 50184580793760. Its totient is φ = 2275983360000.

The previous prime is 10787212799989. The next prime is 10787212800011. The reversal of 10787212800000 is 821278701.

It is a happy number.

10787212800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10787212799989) and next prime (10787212800011).

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 829785599994 + ... + 829785600006.

Almost surely, 2^{10787212800000} is an apocalyptic number.

10787212800000 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 10787212800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25092290396880).

10787212800000 is an abundant number, since it is smaller than the sum of its proper divisors (39397367993760).

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

10787212800000 is an frugal number, since it uses more digits than its factorization.

10787212800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 10787212800000 in words is "ten trillion, seven hundred eighty-seven billion, two hundred twelve million, eight hundred thousand".