88627216384000 has 1472 divisors, whose sum is σ = 281406223687680. Its totient is φ = 27179089920000.

The previous prime is 88627216383977. The next prime is 88627216384079. The reversal of 88627216384000 is 48361272688.

It is a super-3 number, since 3×88627216384000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161639423980 + ... + 2161639424020.

Almost surely, 2^{88627216384000} is an apocalyptic number.

88627216384000 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 88627216384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140703111843840).

88627216384000 is an abundant number, since it is smaller than the sum of its proper divisors (192779007303680).

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

88627216384000 is an frugal number, since it uses more digits than its factorization.

88627216384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 88627216384000 in words is "eighty-eight trillion, six hundred twenty-seven billion, two hundred sixteen million, three hundred eighty-four thousand".