88196343394560 has 576 divisors, whose sum is σ = 314031464006400. Its totient is φ = 20964647632896.

The previous prime is 88196343394501. The next prime is 88196343394561. The reversal of 88196343394560 is 6549334369188.

It is a super-2 number, since 2×88196343394560² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88196343394561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5776162606 + ... + 5776177874.

It is an arithmetic number, because the mean of its divisors is an integer number (545193513900).

Almost surely, 2^{88196343394560} is an apocalyptic number.

88196343394560 is a gapful number since it is divisible by the number (80) 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 88196343394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157015732003200).

88196343394560 is an abundant number, since it is smaller than the sum of its proper divisors (225835120611840).

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

88196343394560 is a wasteful number, since it uses less digits than its factorization.

88196343394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19986 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 88196343394560 in words is "eighty-eight trillion, one hundred ninety-six billion, three hundred forty-three million, three hundred ninety-four thousand, five hundred sixty".