20616015130920 has 768 divisors, whose sum is σ = 78669916416000. Its totient is φ = 4809742156800.

The previous prime is 20616015130903. The next prime is 20616015130933. The reversal of 20616015130920 is 2903151061602.

20616015130920 is a `hidden beast` number, since 2 + 0 + 61 + 60 + 1 + 513 + 0 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 964300791 + ... + 964322169.

It is an arithmetic number, because the mean of its divisors is an integer number (102434787000).

Almost surely, 2^{20616015130920} is an apocalyptic number.

20616015130920 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 20616015130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39334958208000).

20616015130920 is an abundant number, since it is smaller than the sum of its proper divisors (58053901285080).

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

20616015130920 is a wasteful number, since it uses less digits than its factorization.

20616015130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21756 (or 21740 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20616015130920 in words is "twenty trillion, six hundred sixteen billion, fifteen million, one hundred thirty thousand, nine hundred twenty".