88535143609920 has 1120 divisors, whose sum is σ = 364082005774080. Its totient is φ = 20004181770240.

The previous prime is 88535143609909. The next prime is 88535143609933. The reversal of 88535143609920 is 2990634153588.

88535143609920 is a `hidden beast` number, since 8 + 8 + 5 + 3 + 5 + 14 + 3 + 609 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 5990597091 + ... + 5990611869.

Almost surely, 2^{88535143609920} is an apocalyptic number.

88535143609920 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 88535143609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182041002887040).

88535143609920 is an abundant number, since it is smaller than the sum of its proper divisors (275546862164160).

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

88535143609920 is a wasteful number, since it uses less digits than its factorization.

88535143609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15174 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 88535143609920 in words is "eighty-eight trillion, five hundred thirty-five billion, one hundred forty-three million, six hundred nine thousand, nine hundred twenty".