88006015240000 has 840 divisors, whose sum is σ = 258930043988000. Its totient is φ = 29470763520000.

The previous prime is 88006015239997. The next prime is 88006015240007. The reversal of 88006015240000 is 4251060088.

It is a super-2 number, since 2×88006015240000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88006015240007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31397078599 + ... + 31397081401.

Almost surely, 2^{88006015240000} is an apocalyptic number.

88006015240000 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 88006015240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129465021994000).

88006015240000 is an abundant number, since it is smaller than the sum of its proper divisors (170924028748000).

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

88006015240000 is a wasteful number, since it uses less digits than its factorization.

88006015240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 88006015240000 in words is "eighty-eight trillion, six billion, fifteen million, two hundred forty thousand".