21078333737760 has 192 divisors, whose sum is σ = 71524703376000. Its totient is φ = 5187024691200.

The previous prime is 21078333737753. The next prime is 21078333737831. The reversal of 21078333737760 is 6773733387012.

It is a self number, because there is not a number n which added to its sum of digits gives 21078333737760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21351060 + ... + 22316460.

It is an arithmetic number, because the mean of its divisors is an integer number (372524496750).

Almost surely, 2^{21078333737760} is an apocalyptic number.

21078333737760 is a gapful number since it is divisible by the number (20) 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 21078333737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35762351688000).

21078333737760 is an abundant number, since it is smaller than the sum of its proper divisors (50446369638240).

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

21078333737760 is a wasteful number, since it uses less digits than its factorization.

21078333737760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968931 (or 968923 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 57.

The spelling of 21078333737760 in words is "twenty-one trillion, seventy-eight billion, three hundred thirty-three million, seven hundred thirty-seven thousand, seven hundred sixty".