88610440955904 has 960 divisors, whose sum is σ = 324168843398400. Its totient is φ = 23561754771456.

The previous prime is 88610440955899. The next prime is 88610440955909. The reversal of 88610440955904 is 40955904401688.

88610440955904 is a `hidden beast` number, since 8 + 8 + 6 + 10 + 440 + 95 + 5 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (88610440955899) and next prime (88610440955909).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (88610440955909) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 988149982 + ... + 988239650.

It is an arithmetic number, because the mean of its divisors is an integer number (337675878540).

Almost surely, 2^{88610440955904} is an apocalyptic number.

88610440955904 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 88610440955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162084421699200).

88610440955904 is an abundant number, since it is smaller than the sum of its proper divisors (235558402442496).

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

88610440955904 is a wasteful number, since it uses less digits than its factorization.

88610440955904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89770 (or 89741 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 88610440955904 in words is "eighty-eight trillion, six hundred ten billion, four hundred forty million, nine hundred fifty-five thousand, nine hundred four".