8725901184 has 1152 divisors, whose sum is σ = 36569594880. Its totient is φ = 1958584320.

The previous prime is 8725901153. The next prime is 8725901209. The reversal of 8725901184 is 4811095278.

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

It is a super-2 number, since 2×8725901184² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185657449 + ... + 185657495.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^8725901184 is an apocalyptic number.

8725901184 is a gapful number since it is divisible by the number (84) 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 8725901184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284797440).

8725901184 is an abundant number, since it is smaller than the sum of its proper divisors (27843693696).

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

8725901184 is a wasteful number, since it uses less digits than its factorization.

8725901184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8725901184 is about 93412.5322641454. The cubic root of 8725901184 is about 2058.7491372398.

It can be divided in two parts, 8725 and 901184, that added together give a palindrome (909909).

The spelling of 8725901184 in words is "eight billion, seven hundred twenty-five million, nine hundred one thousand, one hundred eighty-four".