88332741200 has 240 divisors, whose sum is σ = 245628832320. Its totient is φ = 30170112000.

The previous prime is 88332741199. The next prime is 88332741209. The reversal of 88332741200 is 214723388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88332741209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51685946 + ... + 51687654.

It is an arithmetic number, because the mean of its divisors is an integer number (1023453468).

Almost surely, 2^88332741200 is an apocalyptic number.

88332741200 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 88332741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122814416160).

88332741200 is an abundant number, since it is smaller than the sum of its proper divisors (157296091120).

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

88332741200 is a wasteful number, since it uses less digits than its factorization.

88332741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 88332741200 in words is "eighty-eight billion, three hundred thirty-two million, seven hundred forty-one thousand, two hundred".