10893212300340 has 192 divisors, whose sum is σ = 34014987659520. Its totient is φ = 2894161052160.

The previous prime is 10893212300281. The next prime is 10893212300387. The reversal of 10893212300340 is 4300321239801.

10893212300340 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 3 + 2 + 1 + 2 + 300 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10893212300295 and 10893212300304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175702827 + ... + 175764813.

It is an arithmetic number, because the mean of its divisors is an integer number (177161394060).

Almost surely, 2^{10893212300340} is an apocalyptic number.

10893212300340 is a gapful number since it is divisible by the number (10) 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 10893212300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007493829760).

10893212300340 is an abundant number, since it is smaller than the sum of its proper divisors (23121775359180).

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

10893212300340 is a wasteful number, since it uses less digits than its factorization.

10893212300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63199 (or 63191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10893212300340 in words is "ten trillion, eight hundred ninety-three billion, two hundred twelve million, three hundred thousand, three hundred forty".