88749855360 has 768 divisors, whose sum is σ = 337741747200. Its totient is φ = 22001172480.

The previous prime is 88749855353. The next prime is 88749855367. The reversal of 88749855360 is 6355894788.

88749855360 is a `hidden beast` number, since 8 + 8 + 7 + 4 + 98 + 5 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88749855353) and next prime (88749855367).

It is not an unprimeable number, because it can be changed into a prime (88749855367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450506782 + ... + 450506978.

It is an arithmetic number, because the mean of its divisors is an integer number (439767900).

Almost surely, 2^88749855360 is an apocalyptic number.

88749855360 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 88749855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168870873600).

88749855360 is an abundant number, since it is smaller than the sum of its proper divisors (248991891840).

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

88749855360 is a wasteful number, since it uses less digits than its factorization.

88749855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 88749855360 in words is "eighty-eight billion, seven hundred forty-nine million, eight hundred fifty-five thousand, three hundred sixty".