88960781448 has 1152 divisors, whose sum is σ = 350330572800. Its totient is φ = 20030976000.

The previous prime is 88960781423. The next prime is 88960781471. The reversal of 88960781448 is 84418706988.

88960781448 is a `hidden beast` number, since 8 + 8 + 9 + 607 + 8 + 14 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 589144173 + ... + 589144323.

It is an arithmetic number, because the mean of its divisors is an integer number (304106400).

Almost surely, 2^88960781448 is an apocalyptic number.

88960781448 is a gapful number since it is divisible by the number (88) 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 88960781448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175165286400).

88960781448 is an abundant number, since it is smaller than the sum of its proper divisors (261369791352).

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

88960781448 is a wasteful number, since it uses less digits than its factorization.

88960781448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 88960781448 in words is "eighty-eight billion, nine hundred sixty million, seven hundred eighty-one thousand, four hundred forty-eight".