20879136509616 has 320 divisors, whose sum is σ = 75213833625600. Its totient is φ = 5387236128000.

The previous prime is 20879136509599. The next prime is 20879136509687. The reversal of 20879136509616 is 61690563197802.

20879136509616 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 9 + 1 + 3 + 6 + 5 + 0 + 9 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2944455 + ... + 7101273.

It is an arithmetic number, because the mean of its divisors is an integer number (235043230080).

Almost surely, 2^{20879136509616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20879136509616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37606916812800).

20879136509616 is an abundant number, since it is smaller than the sum of its proper divisors (54334697115984).

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

20879136509616 is a wasteful number, since it uses less digits than its factorization.

20879136509616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157005 (or 4156993 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 20879136509616 in words is "twenty trillion, eight hundred seventy-nine billion, one hundred thirty-six million, five hundred nine thousand, six hundred sixteen".