88338478126080 has 4224 divisors, whose sum is σ = 389629153013760. Its totient is φ = 16650589962240.

The previous prime is 88338478126037. The next prime is 88338478126081. The reversal of 88338478126080 is 8062187483388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88338478126081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 674339527615 + ... + 674339527745.

It is an arithmetic number, because the mean of its divisors is an integer number (92241750240).

Almost surely, 2^{88338478126080} is an apocalyptic number.

88338478126080 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 88338478126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194814576506880).

88338478126080 is an abundant number, since it is smaller than the sum of its proper divisors (301290674887680).

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

88338478126080 is a wasteful number, since it uses less digits than its factorization.

88338478126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 66.

The spelling of 88338478126080 in words is "eighty-eight trillion, three hundred thirty-eight billion, four hundred seventy-eight million, one hundred twenty-six thousand, eighty".