88138416219840 has 1344 divisors, whose sum is σ = 369079685308800. Its totient is φ = 19735897079808.

The previous prime is 88138416219823. The next prime is 88138416219859. The reversal of 88138416219840 is 4891261483188.

88138416219840 is a `hidden beast` number, since 8 + 8 + 1 + 384 + 1 + 62 + 198 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16985623966 + ... + 16985629154.

Almost surely, 2^{88138416219840} is an apocalyptic number.

88138416219840 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 88138416219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184539842654400).

88138416219840 is an abundant number, since it is smaller than the sum of its proper divisors (280941269088960).

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

88138416219840 is a wasteful number, since it uses less digits than its factorization.

88138416219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 88138416219840 in words is "eighty-eight trillion, one hundred thirty-eight billion, four hundred sixteen million, two hundred nineteen thousand, eight hundred forty".