2623871652800 has 84 divisors (see below), whose sum is σ = 6461256872736. Its totient is φ = 1048753305600.

The previous prime is 2623871652799. The next prime is 2623871652833. The reversal of 2623871652800 is 82561783262.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1492889 + ... + 2734311.

Almost surely, 2^{2623871652800} is an apocalyptic number.

2623871652800 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 2623871652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230628436368).

2623871652800 is an abundant number, since it is smaller than the sum of its proper divisors (3837385219936).

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

2623871652800 is a wasteful number, since it uses less digits than its factorization.

2623871652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242766 (or 1242751 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 2623871652800 in words is "two trillion, six hundred twenty-three billion, eight hundred seventy-one million, six hundred fifty-two thousand, eight hundred".