88937314411200 has 336 divisors, whose sum is σ = 307301621616000. Its totient is φ = 22456975196160.

The previous prime is 88937314411199. The next prime is 88937314411229. The reversal of 88937314411200 is 211441373988.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180238416 + ... + 180731184.

Almost surely, 2^{88937314411200} is an apocalyptic number.

88937314411200 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 88937314411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153650810808000).

88937314411200 is an abundant number, since it is smaller than the sum of its proper divisors (218364307204800).

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

88937314411200 is a wasteful number, since it uses less digits than its factorization.

88937314411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494792 (or 494777 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 88937314411200 in words is "eighty-eight trillion, nine hundred thirty-seven billion, three hundred fourteen million, four hundred eleven thousand, two hundred".