19979410752 has 560 divisors, whose sum is σ = 72492900480. Its totient is φ = 5311070208.

The previous prime is 19979410733. The next prime is 19979410777. The reversal of 19979410752 is 25701497991.

19979410752 is a `hidden beast` number, since 1 + 99 + 79 + 410 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 85748428 + ... + 85748660.

It is an arithmetic number, because the mean of its divisors is an integer number (129451608).

Almost surely, 2^19979410752 is an apocalyptic number.

19979410752 is a gapful number since it is divisible by the number (12) 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 19979410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246450240).

19979410752 is an abundant number, since it is smaller than the sum of its proper divisors (52513489728).

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

19979410752 is a wasteful number, since it uses less digits than its factorization.

19979410752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 19979410752 in words is "nineteen billion, nine hundred seventy-nine million, four hundred ten thousand, seven hundred fifty-two".