896205018498240 has 2240 divisors, whose sum is σ = 3344106624122880. Its totient is φ = 202920718049280.

The previous prime is 896205018498239. The next prime is 896205018498247. The reversal of 896205018498240 is 42894810502698.

896205018498240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (896205018498247) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3407623644349 + ... + 3407623644611.

It is an arithmetic number, because the mean of its divisors is an integer number (1492904742912).

Almost surely, 2^{896205018498240} is an apocalyptic number.

896205018498240 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 896205018498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672053312061440).

896205018498240 is an abundant number, since it is smaller than the sum of its proper divisors (2447901605624640).

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

896205018498240 is a wasteful number, since it uses less digits than its factorization.

896205018498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 896205018498240 in words is "eight hundred ninety-six trillion, two hundred five billion, eighteen million, four hundred ninety-eight thousand, two hundred forty".