19829560512 has 112 divisors (see below), whose sum is σ = 55653492960. Its totient is φ = 6209667072.

The previous prime is 19829560493. The next prime is 19829560537. The reversal of 19829560512 is 21506592891.

It is a super-2 number, since 2×19829560512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1878064 + ... + 1888592.

Almost surely, 2^19829560512 is an apocalyptic number.

19829560512 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 19829560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27826746480).

19829560512 is an abundant number, since it is smaller than the sum of its proper divisors (35823932448).

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

19829560512 is a wasteful number, since it uses less digits than its factorization.

19829560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 19829560512 in words is "nineteen billion, eight hundred twenty-nine million, five hundred sixty thousand, five hundred twelve".