88819596224640 has 384 divisors, whose sum is σ = 309574941390000. Its totient is φ = 23463687094272.

The previous prime is 88819596224633. The next prime is 88819596224669. The reversal of 88819596224640 is 4642269591888.

88819596224640 is a `hidden beast` number, since 8 + 8 + 8 + 1 + 9 + 596 + 2 + 24 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 910070208576 + 87909526016064 = 953976^2 + 9376008^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5078589016 + ... + 5078606504.

Almost surely, 2^{88819596224640} is an apocalyptic number.

88819596224640 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 88819596224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154787470695000).

88819596224640 is an abundant number, since it is smaller than the sum of its proper divisors (220755345165360).

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

88819596224640 is a wasteful number, since it uses less digits than its factorization.

88819596224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25712 (or 25697 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 88819596224640 in words is "eighty-eight trillion, eight hundred nineteen billion, five hundred ninety-six million, two hundred twenty-four thousand, six hundred forty".