2785907980800 has 720 divisors, whose sum is σ = 11457832818432. Its totient is φ = 633227673600.

The previous prime is 2785907980763. The next prime is 2785907980853. The reversal of 2785907980800 is 80897095872.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2785907980800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145948857 + ... + 145967943.

Almost surely, 2^{2785907980800} is an apocalyptic number.

2785907980800 is a gapful number since it is divisible by the number (20) 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 2785907980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728916409216).

2785907980800 is an abundant number, since it is smaller than the sum of its proper divisors (8671924837632).

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

2785907980800 is a wasteful number, since it uses less digits than its factorization.

2785907980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19309 (or 19285 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 2785907980800 in words is "two trillion, seven hundred eighty-five billion, nine hundred seven million, nine hundred eighty thousand, eight hundred".