2788532075520 has 1584 divisors, whose sum is σ = 11226142006560. Its totient is φ = 660451885056.

The previous prime is 2788532075513. The next prime is 2788532075557. The reversal of 2788532075520 is 255702358872.

2788532075520 is a `hidden beast` number, since 2 + 7 + 8 + 85 + 3 + 2 + 0 + 7 + 552 + 0 = 666.

It is a super-2 number, since 2×2788532075520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10850319232 + ... + 10850319488.

Almost surely, 2^{2788532075520} is an apocalyptic number.

2788532075520 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 2788532075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613071003280).

2788532075520 is an abundant number, since it is smaller than the sum of its proper divisors (8437609931040).

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

2788532075520 is an equidigital number, since it uses as much as digits as its factorization.

2788532075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 2788532075520 in words is "two trillion, seven hundred eighty-eight billion, five hundred thirty-two million, seventy-five thousand, five hundred twenty".