88248330240000 has 1200 divisors, whose sum is σ = 353770357248000. Its totient is φ = 19108528128000.

The previous prime is 88248330239989. The next prime is 88248330240011. The reversal of 88248330240000 is 4203384288.

It is an interprime number because it is at equal distance from previous prime (88248330239989) and next prime (88248330240011).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4085749201 + ... + 4085770799.

It is an arithmetic number, because the mean of its divisors is an integer number (294808631040).

Almost surely, 2^{88248330240000} is an apocalyptic number.

88248330240000 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 88248330240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176885178624000).

88248330240000 is an abundant number, since it is smaller than the sum of its proper divisors (265522027008000).

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

88248330240000 is an equidigital number, since it uses as much as digits as its factorization.

88248330240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21676 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 88248330240000 in words is "eighty-eight trillion, two hundred forty-eight billion, three hundred thirty million, two hundred forty thousand".