88237585612800 has 1350 divisors, whose sum is σ = 353984606046918. Its totient is φ = 21718640885760.

The previous prime is 88237585612777. The next prime is 88237585612861. The reversal of 88237585612800 is 821658573288.

It is a happy number.

88237585612800 is a `hidden beast` number, since 8 + 8 + 2 + 3 + 7 + 5 + 8 + 5 + 612 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 35280178642944 + 52957406969856 = 5939712^2 + 7277184^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 5607006532 + ... + 5607022268.

Almost surely, 2^{88237585612800} is an apocalyptic number.

88237585612800 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 88237585612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176992303023459).

88237585612800 is an abundant number, since it is smaller than the sum of its proper divisors (265747020434118).

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

88237585612800 is a wasteful number, since it uses less digits than its factorization.

88237585612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 88237585612800 in words is "eighty-eight trillion, two hundred thirty-seven billion, five hundred eighty-five million, six hundred twelve thousand, eight hundred".