725571020160 has 1152 divisors, whose sum is σ = 3016991577600. Its totient is φ = 160117235712.

The previous prime is 725571020143. The next prime is 725571020171. The reversal of 725571020160 is 61020175527.

725571020160 is a `hidden beast` number, since 7 + 2 + 5 + 571 + 0 + 20 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1101017911 + ... + 1101018569.

It is an arithmetic number, because the mean of its divisors is an integer number (2618916300).

Almost surely, 2^725571020160 is an apocalyptic number.

725571020160 is a gapful number since it is divisible by the number (70) 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 725571020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508495788800).

725571020160 is an abundant number, since it is smaller than the sum of its proper divisors (2291420557440).

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

725571020160 is a wasteful number, since it uses less digits than its factorization.

725571020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 725571020160 its reverse (61020175527), we get a palindrome (786591195687).

The spelling of 725571020160 in words is "seven hundred twenty-five billion, five hundred seventy-one million, twenty thousand, one hundred sixty".