88121844480 has 288 divisors, whose sum is σ = 291053564928. Its totient is φ = 22707404800.

The previous prime is 88121844451. The next prime is 88121844493. The reversal of 88121844480 is 8444812188.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16843465 + ... + 16848695.

It is an arithmetic number, because the mean of its divisors is an integer number (1010602656).

Almost surely, 2^88121844480 is an apocalyptic number.

88121844480 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 88121844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145526782464).

88121844480 is an abundant number, since it is smaller than the sum of its proper divisors (202931720448).

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

88121844480 is a wasteful number, since it uses less digits than its factorization.

88121844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 88121844480 in words is "eighty-eight billion, one hundred twenty-one million, eight hundred forty-four thousand, four hundred eighty".