20619729480000 has 560 divisors, whose sum is σ = 82013461291520. Its totient is φ = 4465020672000.

The previous prime is 20619729479989. The next prime is 20619729480043. The reversal of 20619729480000 is 8492791602.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15314019 + ... + 16605981.

Almost surely, 2^{20619729480000} is an apocalyptic number.

20619729480000 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 20619729480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41006730645760).

20619729480000 is an abundant number, since it is smaller than the sum of its proper divisors (61393731811520).

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

20619729480000 is a wasteful number, since it uses less digits than its factorization.

20619729480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292024 (or 1291999 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 20619729480000 in words is "twenty trillion, six hundred nineteen billion, seven hundred twenty-nine million, four hundred eighty thousand".