88639833684480 has 1280 divisors, whose sum is σ = 322744093056000. Its totient is φ = 20598786883584.

The previous prime is 88639833684449. The next prime is 88639833684499. The reversal of 88639833684480 is 8448633893688.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×88639833684480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 88639833684396 and 88639833684405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55090013916 + ... + 55090015524.

It is an arithmetic number, because the mean of its divisors is an integer number (252143822700).

Almost surely, 2^{88639833684480} is an apocalyptic number.

88639833684480 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 88639833684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161372046528000).

88639833684480 is an abundant number, since it is smaller than the sum of its proper divisors (234104259371520).

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

88639833684480 is a wasteful number, since it uses less digits than its factorization.

88639833684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 4586471424, while the sum is 78.

The spelling of 88639833684480 in words is "eighty-eight trillion, six hundred thirty-nine billion, eight hundred thirty-three million, six hundred eighty-four thousand, four hundred eighty".