19877729760 has 576 divisors, whose sum is σ = 81947593728. Its totient is φ = 4289421312.

The previous prime is 19877729747. The next prime is 19877729761. The reversal of 19877729760 is 6792777891.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19877729761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19242204 + ... + 19243236.

It is an arithmetic number, because the mean of its divisors is an integer number (142270128).

Almost surely, 2^19877729760 is an apocalyptic number.

19877729760 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 19877729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40973796864).

19877729760 is an abundant number, since it is smaller than the sum of its proper divisors (62069863968).

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

19877729760 is a wasteful number, since it uses less digits than its factorization.

19877729760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 19877729760 in words is "nineteen billion, eight hundred seventy-seven million, seven hundred twenty-nine thousand, seven hundred sixty".