2725153714560 has 512 divisors, whose sum is σ = 9348195225600. Its totient is φ = 672811057152.

The previous prime is 2725153714559. The next prime is 2725153714609. The reversal of 2725153714560 is 654173515272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755516277 + ... + 755519883.

It is an arithmetic number, because the mean of its divisors is an integer number (18258193800).

Almost surely, 2^{2725153714560} is an apocalyptic number.

2725153714560 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 2725153714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674097612800).

2725153714560 is an abundant number, since it is smaller than the sum of its proper divisors (6623041511040).

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

2725153714560 is a wasteful number, since it uses less digits than its factorization.

2725153714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 2725153714560 in words is "two trillion, seven hundred twenty-five billion, one hundred fifty-three million, seven hundred fourteen thousand, five hundred sixty".