893242216560 has 320 divisors, whose sum is σ = 2942531665920. Its totient is φ = 223519564800.

The previous prime is 893242216463. The next prime is 893242216567. The reversal of 893242216560 is 65612242398.

It is a happy number.

893242216560 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893242216567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 615603835 + ... + 615605285.

It is an arithmetic number, because the mean of its divisors is an integer number (9195411456).

Almost surely, 2^893242216560 is an apocalyptic number.

893242216560 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 893242216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471265832960).

893242216560 is an abundant number, since it is smaller than the sum of its proper divisors (2049289449360).

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

893242216560 is a wasteful number, since it uses less digits than its factorization.

893242216560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 893242216560 in words is "eight hundred ninety-three billion, two hundred forty-two million, two hundred sixteen thousand, five hundred sixty".