88222250602080 has 2880 divisors, whose sum is σ = 387190596925440. Its totient is φ = 18830510899200.

The previous prime is 88222250602067. The next prime is 88222250602091. The reversal of 88222250602080 is 8020605222288.

88222250602080 is a `hidden beast` number, since 8 + 8 + 22 + 22 + 506 + 0 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 75339239895 + ... + 75339241065.

It is an arithmetic number, because the mean of its divisors is an integer number (134441179488).

Almost surely, 2^{88222250602080} is an apocalyptic number.

88222250602080 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 88222250602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193595298462720).

88222250602080 is an abundant number, since it is smaller than the sum of its proper divisors (298968346323360).

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

88222250602080 is a wasteful number, since it uses less digits than its factorization.

88222250602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 88222250602080 in words is "eighty-eight trillion, two hundred twenty-two billion, two hundred fifty million, six hundred two thousand, eighty".