88213296084480 has 1120 divisors, whose sum is σ = 362841222104064. Its totient is φ = 20139303518208.

The previous prime is 88213296084479. The next prime is 88213296084497. The reversal of 88213296084480 is 8448069231288.

88213296084480 is a `hidden beast` number, since 8 + 8 + 2 + 13 + 2 + 9 + 60 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12632575069 + ... + 12632582051.

Almost surely, 2^{88213296084480} is an apocalyptic number.

88213296084480 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 88213296084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181420611052032).

88213296084480 is an abundant number, since it is smaller than the sum of its proper divisors (274627926019584).

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

88213296084480 is an frugal number, since it uses more digits than its factorization.

88213296084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 88213296084480 in words is "eighty-eight trillion, two hundred thirteen billion, two hundred ninety-six million, eighty-four thousand, four hundred eighty".