88221450240 has 1536 divisors, whose sum is σ = 408812572800. Its totient is φ = 17836277760.

The previous prime is 88221450209. The next prime is 88221450257. The reversal of 88221450240 is 4205412288.

88221450240 is a `hidden beast` number, since 88 + 22 + 14 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88221450195 and 88221450204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2384363502 + ... + 2384363538.

Almost surely, 2^88221450240 is an apocalyptic number.

88221450240 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 88221450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204406286400).

88221450240 is an abundant number, since it is smaller than the sum of its proper divisors (320591122560).

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

88221450240 is a wasteful number, since it uses less digits than its factorization.

88221450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 88221450240 in words is "eighty-eight billion, two hundred twenty-one million, four hundred fifty thousand, two hundred forty".