88953444329100 has 576 divisors, whose sum is σ = 288974357790720. Its totient is φ = 20978679628800.

The previous prime is 88953444329023. The next prime is 88953444329153. The reversal of 88953444329100 is 192344435988.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6167464489 + ... + 6167478911.

Almost surely, 2^{88953444329100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88953444329100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144487178895360).

88953444329100 is an abundant number, since it is smaller than the sum of its proper divisors (200020913461620).

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

88953444329100 is a wasteful number, since it uses less digits than its factorization.

88953444329100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14990 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 88953444329100 in words is "eighty-eight trillion, nine hundred fifty-three billion, four hundred forty-four million, three hundred twenty-nine thousand, one hundred".