13761221760 has 512 divisors, whose sum is σ = 57268512000. Its totient is φ = 3078881280.

The previous prime is 13761221753. The next prime is 13761221767. The reversal of 13761221760 is 6712216731.

It is a happy number.

13761221760 is a `hidden beast` number, since 1 + 37 + 612 + 2 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13761221753) and next prime (13761221767).

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

It is not an unprimeable number, because it can be changed into a prime (13761221767) 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, 2468256 + ... + 2473824.

Almost surely, 2^13761221760 is an apocalyptic number.

13761221760 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 13761221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28634256000).

13761221760 is an abundant number, since it is smaller than the sum of its proper divisors (43507290240).

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

13761221760 is a wasteful number, since it uses less digits than its factorization.

13761221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13761221760 in words is "thirteen billion, seven hundred sixty-one million, two hundred twenty-one thousand, seven hundred sixty".