88286980843872 has 576 divisors, whose sum is σ = 263597010034176. Its totient is φ = 28006429777920.

The previous prime is 88286980843709. The next prime is 88286980843951. The reversal of 88286980843872 is 27834808968288.

88286980843872 is a `hidden beast` number, since 8 + 8 + 2 + 86 + 9 + 80 + 84 + 387 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88286980843791 and 88286980843800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 40075795923 + ... + 40075798125.

It is an arithmetic number, because the mean of its divisors is an integer number (457633697976).

Almost surely, 2^{88286980843872} is an apocalyptic number.

88286980843872 is a gapful number since it is divisible by the number (82) 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 88286980843872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131798505017088).

88286980843872 is an abundant number, since it is smaller than the sum of its proper divisors (175310029190304).

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

88286980843872 is a wasteful number, since it uses less digits than its factorization.

88286980843872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 4756340736, while the sum is 81.

The spelling of 88286980843872 in words is "eighty-eight trillion, two hundred eighty-six billion, nine hundred eighty million, eight hundred forty-three thousand, eight hundred seventy-two".