88385126400 has 756 divisors, whose sum is σ = 337523268222. Its totient is φ = 22932357120.

The previous prime is 88385126399. The next prime is 88385126407. The reversal of 88385126400 is 462158388.

88385126400 is a `hidden beast` number, since 8 + 8 + 385 + 1 + 264 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 80311025664 + 8074100736 = 283392^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88385126407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388787182 + ... + 2388787218.

Almost surely, 2^88385126400 is an apocalyptic number.

88385126400 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 88385126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168761634111).

88385126400 is an abundant number, since it is smaller than the sum of its proper divisors (249138141822).

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

88385126400 is an frugal number, since it uses more digits than its factorization.

88385126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 88385126400 in words is "eighty-eight billion, three hundred eighty-five million, one hundred twenty-six thousand, four hundred".