88212275553024 has 864 divisors, whose sum is σ = 334419665448960. Its totient is φ = 21747518668800.

The previous prime is 88212275553023. The next prime is 88212275553053. The reversal of 88212275553024 is 42035557221288.

88212275553024 is a `hidden beast` number, since 8 + 8 + 2 + 12 + 2 + 75 + 5 + 530 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (88212275553023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161216544 + ... + 161762784.

Almost surely, 2^{88212275553024} is an apocalyptic number.

88212275553024 is a gapful number since it is divisible by the number (84) 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 88212275553024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167209832724480).

88212275553024 is an abundant number, since it is smaller than the sum of its proper divisors (246207389895936).

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

88212275553024 is a wasteful number, since it uses less digits than its factorization.

88212275553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546337 (or 546320 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 88212275553024 in words is "eighty-eight trillion, two hundred twelve billion, two hundred seventy-five million, five hundred fifty-three thousand, twenty-four".