88776804679680 has 480 divisors, whose sum is σ = 311702033793024. Its totient is φ = 21440394952704.

The previous prime is 88776804679643. The next prime is 88776804679699. The reversal of 88776804679680 is 8697640867788.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 88776804679593 and 88776804679602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169066497 + ... + 169590783.

Almost surely, 2^{88776804679680} is an apocalyptic number.

88776804679680 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 88776804679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155851016896512).

88776804679680 is an abundant number, since it is smaller than the sum of its proper divisors (222925229113344).

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

88776804679680 is a wasteful number, since it uses less digits than its factorization.

88776804679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524389 (or 524363 counting only the distinct ones).

The product of its (nonzero) digits is 10924720128, while the sum is 84.

The spelling of 88776804679680 in words is "eighty-eight trillion, seven hundred seventy-six billion, eight hundred four million, six hundred seventy-nine thousand, six hundred eighty".