725261948160 has 288 divisors, whose sum is σ = 2369626140672. Its totient is φ = 188965232640.

The previous prime is 725261948149. The next prime is 725261948167. The reversal of 725261948160 is 61849162527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725261948167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116767455 + ... + 116773665.

It is an arithmetic number, because the mean of its divisors is an integer number (8227868544).

Almost surely, 2^725261948160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725261948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184813070336).

725261948160 is an abundant number, since it is smaller than the sum of its proper divisors (1644364192512).

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

725261948160 is a wasteful number, since it uses less digits than its factorization.

725261948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 725261948160 in words is "seven hundred twenty-five billion, two hundred sixty-one million, nine hundred forty-eight thousand, one hundred sixty".