88844480640000 has 2200 divisors, whose sum is σ = 356095523962728. Its totient is φ = 21976842240000.

The previous prime is 88844480639939. The next prime is 88844480640007. The reversal of 88844480640000 is 4608444888.

It is a happy number.

88844480640000 is a `hidden beast` number, since 8 + 88 + 44 + 480 + 6 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 82625482100736 + 6218998539264 = 9089856^2 + 2493792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88844480640007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 64333439310 + ... + 64333440690.

Almost surely, 2^{88844480640000} is an apocalyptic number.

88844480640000 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 88844480640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178047761981364).

88844480640000 is an abundant number, since it is smaller than the sum of its proper divisors (267251043322728).

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

88844480640000 is a wasteful number, since it uses less digits than its factorization.

88844480640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 88844480640000 in words is "eighty-eight trillion, eight hundred forty-four billion, four hundred eighty million, six hundred forty thousand".