88053868800 has 594 divisors, whose sum is σ = 328321864962. Its totient is φ = 23380254720.

The previous prime is 88053868789. The next prime is 88053868807. The reversal of 88053868800 is 886835088.

It can be written as a sum of positive squares in 3 ways, for example, as 740710656 + 87313158144 = 27216^2 + 295488^2 .

It is a super-2 number, since 2×88053868800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88053868807) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 377913484 + ... + 377913716.

Almost surely, 2^88053868800 is an apocalyptic number.

88053868800 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 88053868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160932481).

88053868800 is an abundant number, since it is smaller than the sum of its proper divisors (240267996162).

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

88053868800 is an frugal number, since it uses more digits than its factorization.

88053868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 88053868800 in words is "eighty-eight billion, fifty-three million, eight hundred sixty-eight thousand, eight hundred".