88775153280 has 1024 divisors, whose sum is σ = 368657049600. Its totient is φ = 19950796800.

The previous prime is 88775153273. The next prime is 88775153287. The reversal of 88775153280 is 8235157788.

It is an interprime number because it is at equal distance from previous prime (88775153273) and next prime (88775153287).

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 (88775153287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268202715 + ... + 268203045.

It is an arithmetic number, because the mean of its divisors is an integer number (360016650).

Almost surely, 2^88775153280 is an apocalyptic number.

88775153280 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 88775153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184328524800).

88775153280 is an abundant number, since it is smaller than the sum of its proper divisors (279881896320).

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

88775153280 is a wasteful number, since it uses less digits than its factorization.

88775153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 88775153280 in words is "eighty-eight billion, seven hundred seventy-five million, one hundred fifty-three thousand, two hundred eighty".