88135221949440 has 704 divisors, whose sum is σ = 286748738304000. Its totient is φ = 23102789124096.

The previous prime is 88135221949393. The next prime is 88135221949477. The reversal of 88135221949440 is 4494912253188.

88135221949440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120239047314 + ... + 120239048046.

Almost surely, 2^{88135221949440} is an apocalyptic number.

88135221949440 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 88135221949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143374369152000).

88135221949440 is an abundant number, since it is smaller than the sum of its proper divisors (198613516354560).

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

88135221949440 is a wasteful number, since it uses less digits than its factorization.

88135221949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 88135221949440 in words is "eighty-eight trillion, one hundred thirty-five billion, two hundred twenty-one million, nine hundred forty-nine thousand, four hundred forty".