2726025356800 has 240 divisors, whose sum is σ = 7116092755200. Its totient is φ = 1032863293440.

The previous prime is 2726025356773. The next prime is 2726025356809. The reversal of 2726025356800 is 86535206272.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726025356809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30278251 + ... + 30368149.

It is an arithmetic number, because the mean of its divisors is an integer number (29650386480).

Almost surely, 2^{2726025356800} is an apocalyptic number.

2726025356800 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 2726025356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558046377600).

2726025356800 is an abundant number, since it is smaller than the sum of its proper divisors (4390067398400).

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

2726025356800 is a wasteful number, since it uses less digits than its factorization.

2726025356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90053 (or 90032 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 2726025356800 in words is "two trillion, seven hundred twenty-six billion, twenty-five million, three hundred fifty-six thousand, eight hundred".