88213462012800 has 864 divisors, whose sum is σ = 339390753427440. Its totient is φ = 21774834892800.

The previous prime is 88213462012783. The next prime is 88213462012829. The reversal of 88213462012800 is 821026431288.

88213462012800 is a `hidden beast` number, since 8 + 8 + 2 + 1 + 3 + 4 + 620 + 12 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×88213462012800³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 636497112 + ... + 636635688.

Almost surely, 2^{88213462012800} is an apocalyptic number.

88213462012800 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 88213462012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169695376713720).

88213462012800 is an abundant number, since it is smaller than the sum of its proper divisors (251177291414640).

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

88213462012800 is a wasteful number, since it uses less digits than its factorization.

88213462012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138692 (or 138641 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 88213462012800 in words is "eighty-eight trillion, two hundred thirteen billion, four hundred sixty-two million, twelve thousand, eight hundred".