88455454560 has 864 divisors, whose sum is σ = 359468928000. Its totient is φ = 19620403200.

The previous prime is 88455454547. The next prime is 88455454651. The reversal of 88455454560 is 6545455488.

88455454560 is a `hidden beast` number, since 8 + 8 + 45 + 54 + 545 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88455454497 and 88455454506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 177265191 + ... + 177265689.

It is an arithmetic number, because the mean of its divisors is an integer number (416052000).

Almost surely, 2^88455454560 is an apocalyptic number.

88455454560 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 88455454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464000).

88455454560 is an abundant number, since it is smaller than the sum of its proper divisors (271013473440).

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

88455454560 is a wasteful number, since it uses less digits than its factorization.

88455454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 88455454560 in words is "eighty-eight billion, four hundred fifty-five million, four hundred fifty-four thousand, five hundred sixty".