2503450768896 has 2000 divisors, whose sum is σ = 10206849100800. Its totient is φ = 596151705600.

The previous prime is 2503450768829. The next prime is 2503450768909. The reversal of 2503450768896 is 6988670543052.

It is a happy number.

2503450768896 is a `hidden beast` number, since 2 + 5 + 0 + 34 + 507 + 6 + 8 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 80756476401 + ... + 80756476431.

Almost surely, 2^{2503450768896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503450768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103424550400).

2503450768896 is an abundant number, since it is smaller than the sum of its proper divisors (7703398331904).

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

2503450768896 is an frugal number, since it uses more digits than its factorization.

2503450768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2503450768896 in words is "two trillion, five hundred three billion, four hundred fifty million, seven hundred sixty-eight thousand, eight hundred ninety-six".