2725026480000 has 1440 divisors, whose sum is σ = 11129036318400. Its totient is φ = 638668800000.

The previous prime is 2725026479993. The next prime is 2725026480101. The reversal of 2725026480000 is 846205272.

2725026480000 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 0 + 2 + 648 + 0 + 0 + 0 + 0 = 666.

2725026480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2700719496 + ... + 2700720504.

Almost surely, 2^{2725026480000} is an apocalyptic number.

2725026480000 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 2725026480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564518159200).

2725026480000 is an abundant number, since it is smaller than the sum of its proper divisors (8404009838400).

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

2725026480000 is a wasteful number, since it uses less digits than its factorization.

2725026480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2725026480000 in words is "two trillion, seven hundred twenty-five billion, twenty-six million, four hundred eighty thousand".