2725153572960 has 432 divisors, whose sum is σ = 11650035445776. Its totient is φ = 574977263616.

The previous prime is 2725153572943. The next prime is 2725153573003. The reversal of 2725153572960 is 692753515272.

2725153572960 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 1 + 5 + 3 + 572 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2725153572897 and 2725153572906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568174 + ... + 2402733.

It is an arithmetic number, because the mean of its divisors is an integer number (26967674643).

Almost surely, 2^{2725153572960} is an apocalyptic number.

2725153572960 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 2725153572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825017722888).

2725153572960 is an abundant number, since it is smaller than the sum of its proper divisors (8924881872816).

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

2725153572960 is a wasteful number, since it uses less digits than its factorization.

2725153572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970955 (or 2970937 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 2725153572960 in words is "two trillion, seven hundred twenty-five billion, one hundred fifty-three million, five hundred seventy-two thousand, nine hundred sixty".