88487982638080 has 176 divisors, whose sum is σ = 222319968122880. Its totient is φ = 33730399797248.

The previous prime is 88487982638047. The next prime is 88487982638087. The reversal of 88487982638080 is 8083628978488.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (88487982638087) 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 15 ways as a sum of consecutive naturals, for example, 30280737 + ... + 33074143.

Almost surely, 2^{88487982638080} is an apocalyptic number.

88487982638080 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 88487982638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111159984061440).

88487982638080 is an abundant number, since it is smaller than the sum of its proper divisors (133831985484800).

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

88487982638080 is a wasteful number, since it uses less digits than its factorization.

88487982638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793724 (or 2793706 counting only the distinct ones).

The product of its (nonzero) digits is 2378170368, while the sum is 79.

The spelling of 88487982638080 in words is "eighty-eight trillion, four hundred eighty-seven billion, nine hundred eighty-two million, six hundred thirty-eight thousand, eighty".