88954780400 has 120 divisors (see below), whose sum is σ = 216138510000. Its totient is φ = 35179264000.

The previous prime is 88954780391. The next prime is 88954780417. The reversal of 88954780400 is 408745988.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42378551 + ... + 42380649.

It is an arithmetic number, because the mean of its divisors is an integer number (1801154250).

Almost surely, 2^88954780400 is an apocalyptic number.

88954780400 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 88954780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108069255000).

88954780400 is an abundant number, since it is smaller than the sum of its proper divisors (127183729600).

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

88954780400 is a wasteful number, since it uses less digits than its factorization.

88954780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 88954780400 in words is "eighty-eight billion, nine hundred fifty-four million, seven hundred eighty thousand, four hundred".