20619749042760 has 512 divisors, whose sum is σ = 76726650470400. Its totient is φ = 4325056020480.

The previous prime is 20619749042747. The next prime is 20619749042773. The reversal of 20619749042760 is 6724094791602.

It is an interprime number because it is at equal distance from previous prime (20619749042747) and next prime (20619749042773).

It is a self number, because there is not a number n which added to its sum of digits gives 20619749042760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1067320381 + ... + 1067339699.

It is an arithmetic number, because the mean of its divisors is an integer number (149856739200).

Almost surely, 2^{20619749042760} is an apocalyptic number.

20619749042760 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 20619749042760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38363325235200).

20619749042760 is an abundant number, since it is smaller than the sum of its proper divisors (56106901427640).

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

20619749042760 is a wasteful number, since it uses less digits than its factorization.

20619749042760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 20619749042760 in words is "twenty trillion, six hundred nineteen billion, seven hundred forty-nine million, forty-two thousand, seven hundred sixty".