88725964464 has 160 divisors (see below), whose sum is σ = 263822400000. Its totient is φ = 28516029696.

The previous prime is 88725964451. The next prime is 88725964469. The reversal of 88725964464 is 46446952788.

88725964464 is a `hidden beast` number, since 8 + 87 + 2 + 5 + 96 + 4 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (88725964469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9855037 + ... + 9864035.

It is an arithmetic number, because the mean of its divisors is an integer number (1648890000).

Almost surely, 2^88725964464 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 88725964464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131911200000).

88725964464 is an abundant number, since it is smaller than the sum of its proper divisors (175096435536).

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

88725964464 is a wasteful number, since it uses less digits than its factorization.

88725964464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9820 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 88725964464 in words is "eighty-eight billion, seven hundred twenty-five million, nine hundred sixty-four thousand, four hundred sixty-four".